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Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz
Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (532 pages) : illustrations
Disciplina 516.3/5
Collana Annals of Mathematics Studies
Soggetto topico Curves, Elliptic
Moduli theory
Geometry, Algebraic
Soggetto non controllato Abelian variety
Addition
Algebraic variety
Algebraically closed field
Ambient space
Arithmetic
Axiom
Barry Mazur
Base change
Calculation
Canonical map
Change of base
Closed immersion
Coefficient
Coherent sheaf
Cokernel
Commutative property
Congruence relation
Coprime integers
Corollary
Cusp form
Cyclic group
Dense set
Diagram (category theory)
Dimension
Discrete valuation ring
Disjoint union
Divisor
Eigenfunction
Elliptic curve
Empty set
Factorization
Field of fractions
Finite field
Finite group
Finite morphism
Free module
Functor
Group (mathematics)
Integer
Irreducible component
Level structure
Local ring
Maximal ideal
Modular curve
Modular equation
Modular form
Moduli space
Morphism of schemes
Morphism
Neighbourhood (mathematics)
Noetherian
One-parameter group
Open problem
Prime factor
Prime number
Prime power
Q.E.D.
Regularity theorem
Representation theory
Residue field
Riemann hypothesis
Smoothness
Special case
Subgroup
Subring
Subset
Theorem
Topology
Two-dimensional space
Zariski topology
ISBN 1-4008-8171-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter 1. GENERALITIES ON " A-STRUCTURES" AND " A-GENERATORS" -- Chapter 2. REVIEW OF ELLIPTIC CURVES -- Chapter 3. THE FOUR BASIC MODULI PROBLEMS FOR ELLIPTIC CURVES: SORITES -- Chapter 4. THE FORMALISM OF MODULI PROBLEMS -- Chapter 5. REGULARITY THEOREMS -- Chapter 6. CYCLICITY -- Chapter 7. QUOTIENTS BY FINITE GROUPS -- Chapter 8. COARSE MODULI SCHEMES, CUSPS, AND COMPACTIFICATION -- Chapter 9. MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS -- Chapter 10. THE CALCULUS OF CUSPS AND COMPONENTS VIA THE GROUPS T[N], AND THE GLOBAL STRUCTURE OF THE BASIC MODULI PROBLEMS -- Chapter 11. INTERLUDE-EXOTIC MODULAR MORPHISMS AND ISOMORPHISMS -- Chapter 12. NEW MODULI PROBLEMS IN CHARACTERISTIC p; IGUSA CURVES -- Chapter 13. REDUCTIONS mod p OF THE BASIC MODULI PROBLEMS -- Chapter 14. APPLICATION TO THEOREMS OF GOOD REDUCTION -- NOTES ADDED IN PROOF -- REFERENCES
Record Nr. UNINA-9910154753303321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Arithmetic on elliptic curves with complex multiplication / / Benedict H. Gross ; with an appendix by B. Mazur
Arithmetic on elliptic curves with complex multiplication / / Benedict H. Gross ; with an appendix by B. Mazur
Autore Gross Benedict H. <1950->
Edizione [1st ed. 1980.]
Pubbl/distr/stampa Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1980]
Descrizione fisica 1 online resource (VIII, 100 p.)
Disciplina 516.352
Collana Lecture notes in mathematics (Springer-Verlag)
Soggetto topico Curves, Elliptic
Multiplication, Complex
ISBN 3-540-38575-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Acknowledgements -- Notation and conventions -- The theory of complex multiplication -- A classification -- Local arithmetic -- Global arithmetic -- The Q-curve A(p).
Record Nr. UNISA-996466629903316
Gross Benedict H. <1950->  
Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1980]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Circles disturbed [[electronic resource] ] : the interplay of mathematics and narrative / / edited by Apostolos Doxiadis and Barry Mazur
Circles disturbed [[electronic resource] ] : the interplay of mathematics and narrative / / edited by Apostolos Doxiadis and Barry Mazur
Edizione [Core Textbook]
Pubbl/distr/stampa Princeton, : Princeton University Press, c2012
Descrizione fisica 1 online resource (593 p.)
Disciplina 510.1/4
Altri autori (Persone) DoxiadēsApostolos K. <1953->
MazurBarry
Soggetto topico Mathematics - Language
Communication in mathematics
Mathematics - History
Soggetto genere / forma Electronic books.
ISBN 1-283-45704-0
9786613457042
1-4008-4268-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 1. From Voyagers to Martyrs / Alexander, Amir -- Chapter 2. Structure of Crystal, Bucket of Dust / Galison, Peter -- Chapter 3. Deductive Narrative and the Epistemological Function of Belief in Mathematics / Nave, Federicala -- Chapter 4. Hilbert on Theology and Its Discontents / Mclarty, Colin -- Chapter 5. Do Androids Prove Theorems in Their Sleep? / Harris, Michael -- Chapter 6. Visions, Dreams, and Mathematics / Mazur, Barry -- Chapter 7. Vividness in Mathematics and Narrative / Gowers, Timothy -- Chapter 8. Mathematics and Narrative / Teissier, Bernard -- Chapter 9. Narrative and the Rationality of Mathematical Practice / Corfield, David -- Chapter 10. A Streetcar Named (among Other Things) Proof / Doxiadis, Apostolos -- Chapter 11. Mathematics and Narrative: An Aristotelian Perspective / Lloyd, G . E . R . -- Chapter 12. Adventures of the Diagonal: Non-Euclidean Mathematics and Narrative / Plotnitsky, Arkady -- Chapter 13. Formal Models in Narrative Analysis / Herman, David -- Chapter 14. Mathematics and Narrative: A Narratological Perspective / Margolin, Uri -- Chapter 15. Tales of Contingency, Contingencies of Telling / Meister, Jan Christoph -- Contributors -- Index
Record Nr. UNINA-9910457168603321
Princeton, : Princeton University Press, c2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Circles disturbed [[electronic resource] ] : the interplay of mathematics and narrative / / edited by Apostolos Doxiadis and Barry Mazur
Circles disturbed [[electronic resource] ] : the interplay of mathematics and narrative / / edited by Apostolos Doxiadis and Barry Mazur
Edizione [Core Textbook]
Pubbl/distr/stampa Princeton, : Princeton University Press, c2012
Descrizione fisica 1 online resource (593 p.)
Disciplina 510.1/4
Altri autori (Persone) DoxiadēsApostolos K. <1953->
MazurBarry
Soggetto topico Mathematics - Language
Communication in mathematics
Mathematics - History
Soggetto non controllato Alasdair MacIntyre
Archimedes
Aristotle
Bleak House
Borel sets
Bourbaki
Carl Friedrich Gauss
David Hilbert
Emmy Noether
Enlightenment
G. E. R. Lloyd
Georg Cantor
Greece
Jean-Pierre Vernant
John Archibald Wheeler
K-ness
L'Algebra
Leo Perutz
Leopold Kronecker
Middlemarch
Paul Gordan
Plato
Rafael Bombelli
Robert Thomason
ThomasonДrobaugh article
Tom Trobaugh
abstraction
aesthetic contingency
algebra
automated theorem provers
axiomatic mathematics
belief
chiasmus
clues
cognitive meaning
compound machines
computational modeling
computer simulations
cubic equations
deductive mathematics
diagramma
dreams
energeia
epistemology
existential contingency
explanation
exploration mathematics
finiteness theorems
focalization
forensic rhetoric
formal models
geometry
ghost
ghostwriter
group
highest common factor
imaginary numbers
incommensurability
intuition
irony
literary narrative
literature
machine metaphor
mathematical argument
mathematical concepts
mathematical enquiry
mathematical line
mathematical modeling
mathematical models
mathematical objects
mathematical physics
mathematicians
mathematics
metanarratology
metaphor
myth
narrative analysis
narrative representation
narrative subjectivity
narrative
narratology
negative numbers
non-Euclidean epistemology
non-Euclidean geometry
non-Euclidean mathematics
non-Euclidean physics
non-Euclidean thinking
orthe
permutation groups
perspective
poetic storytelling
polynomial equations
proof
quantum mechanics
rational enquiry
rationality
reality
scientific inquiry
square roots
story generator algorithm
story grammars
story
storytelling
structural linguistics
symbols
theology
theorems
tragic mathematical heroes
truth
variste Galois
vestibular line
visions
visual line
vividness
ISBN 1-283-45704-0
9786613457042
1-4008-4268-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 1. From Voyagers to Martyrs / Alexander, Amir -- Chapter 2. Structure of Crystal, Bucket of Dust / Galison, Peter -- Chapter 3. Deductive Narrative and the Epistemological Function of Belief in Mathematics / Nave, Federicala -- Chapter 4. Hilbert on Theology and Its Discontents / Mclarty, Colin -- Chapter 5. Do Androids Prove Theorems in Their Sleep? / Harris, Michael -- Chapter 6. Visions, Dreams, and Mathematics / Mazur, Barry -- Chapter 7. Vividness in Mathematics and Narrative / Gowers, Timothy -- Chapter 8. Mathematics and Narrative / Teissier, Bernard -- Chapter 9. Narrative and the Rationality of Mathematical Practice / Corfield, David -- Chapter 10. A Streetcar Named (among Other Things) Proof / Doxiadis, Apostolos -- Chapter 11. Mathematics and Narrative: An Aristotelian Perspective / Lloyd, G . E . R . -- Chapter 12. Adventures of the Diagonal: Non-Euclidean Mathematics and Narrative / Plotnitsky, Arkady -- Chapter 13. Formal Models in Narrative Analysis / Herman, David -- Chapter 14. Mathematics and Narrative: A Narratological Perspective / Margolin, Uri -- Chapter 15. Tales of Contingency, Contingencies of Telling / Meister, Jan Christoph -- Contributors -- Index
Record Nr. UNINA-9910778928403321
Princeton, : Princeton University Press, c2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Circles disturbed [[electronic resource] ] : the interplay of mathematics and narrative / / edited by Apostolos Doxiadis and Barry Mazur
Circles disturbed [[electronic resource] ] : the interplay of mathematics and narrative / / edited by Apostolos Doxiadis and Barry Mazur
Edizione [Core Textbook]
Pubbl/distr/stampa Princeton, : Princeton University Press, c2012
Descrizione fisica 1 online resource (593 p.)
Disciplina 510.1/4
Altri autori (Persone) DoxiadēsApostolos K. <1953->
MazurBarry
Soggetto topico Mathematics - Language
Communication in mathematics
Mathematics - History
Soggetto non controllato Alasdair MacIntyre
Archimedes
Aristotle
Bleak House
Borel sets
Bourbaki
Carl Friedrich Gauss
David Hilbert
Emmy Noether
Enlightenment
G. E. R. Lloyd
Georg Cantor
Greece
Jean-Pierre Vernant
John Archibald Wheeler
K-ness
L'Algebra
Leo Perutz
Leopold Kronecker
Middlemarch
Paul Gordan
Plato
Rafael Bombelli
Robert Thomason
ThomasonДrobaugh article
Tom Trobaugh
abstraction
aesthetic contingency
algebra
automated theorem provers
axiomatic mathematics
belief
chiasmus
clues
cognitive meaning
compound machines
computational modeling
computer simulations
cubic equations
deductive mathematics
diagramma
dreams
energeia
epistemology
existential contingency
explanation
exploration mathematics
finiteness theorems
focalization
forensic rhetoric
formal models
geometry
ghost
ghostwriter
group
highest common factor
imaginary numbers
incommensurability
intuition
irony
literary narrative
literature
machine metaphor
mathematical argument
mathematical concepts
mathematical enquiry
mathematical line
mathematical modeling
mathematical models
mathematical objects
mathematical physics
mathematicians
mathematics
metanarratology
metaphor
myth
narrative analysis
narrative representation
narrative subjectivity
narrative
narratology
negative numbers
non-Euclidean epistemology
non-Euclidean geometry
non-Euclidean mathematics
non-Euclidean physics
non-Euclidean thinking
orthe
permutation groups
perspective
poetic storytelling
polynomial equations
proof
quantum mechanics
rational enquiry
rationality
reality
scientific inquiry
square roots
story generator algorithm
story grammars
story
storytelling
structural linguistics
symbols
theology
theorems
tragic mathematical heroes
truth
variste Galois
vestibular line
visions
visual line
vividness
ISBN 1-283-45704-0
9786613457042
1-4008-4268-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 1. From Voyagers to Martyrs / Alexander, Amir -- Chapter 2. Structure of Crystal, Bucket of Dust / Galison, Peter -- Chapter 3. Deductive Narrative and the Epistemological Function of Belief in Mathematics / Nave, Federicala -- Chapter 4. Hilbert on Theology and Its Discontents / Mclarty, Colin -- Chapter 5. Do Androids Prove Theorems in Their Sleep? / Harris, Michael -- Chapter 6. Visions, Dreams, and Mathematics / Mazur, Barry -- Chapter 7. Vividness in Mathematics and Narrative / Gowers, Timothy -- Chapter 8. Mathematics and Narrative / Teissier, Bernard -- Chapter 9. Narrative and the Rationality of Mathematical Practice / Corfield, David -- Chapter 10. A Streetcar Named (among Other Things) Proof / Doxiadis, Apostolos -- Chapter 11. Mathematics and Narrative: An Aristotelian Perspective / Lloyd, G . E . R . -- Chapter 12. Adventures of the Diagonal: Non-Euclidean Mathematics and Narrative / Plotnitsky, Arkady -- Chapter 13. Formal Models in Narrative Analysis / Herman, David -- Chapter 14. Mathematics and Narrative: A Narratological Perspective / Margolin, Uri -- Chapter 15. Tales of Contingency, Contingencies of Telling / Meister, Jan Christoph -- Contributors -- Index
Record Nr. UNINA-9910807819803321
Princeton, : Princeton University Press, c2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Etale homotopy / / Michael Artin, Barry Mazur
Etale homotopy / / Michael Artin, Barry Mazur
Autore Artin Michael
Edizione [1st ed. 1969.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer-Verlag, , [1986]
Descrizione fisica 1 online resource (IV, 169 p.)
Disciplina 514.24
Collana Lecture Notes in Mathematics
Soggetto topico Homotopy theory
ISBN 3-540-36142-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto A glossary of the categories in which we shall work, and fibre resolutions -- Pro-objects in the homotopy category -- Completions -- Cohomological criteria for ?-isomorphism -- Completions and fibrations -- Homotopy groups of completions -- Stable results -- Hypercoverings -- The Verdier functor -- The fundamental group -- A profiniteness theorem -- Comparison theorems.
Record Nr. UNISA-996466606903316
Artin Michael  
Berlin, Heidelberg : , : Springer-Verlag, , [1986]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur
Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur
Autore Friedlander E. M (Eric M.), <1944->
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1994
Descrizione fisica 1 online resource (126 p.)
Disciplina 516.3/5
Collana Memoirs of the American Mathematical Society
Soggetto topico Algebraic cycles
Filters (Mathematics)
Homology theory
Soggetto genere / forma Electronic books.
ISBN 1-4704-0108-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Introduction""; ""Chapter 1. Questions and Speculations""; ""1.1. The nitrations""; ""1.2. Dependence on the projective imbedding""; ""1.3. The ""Strong Lefschetz"" mapping in Lawson Homology""; ""1.4. Equivalence relations on algebraic cycles""; ""1.5. Stabilized homotopy of moduli spaces""; ""1.6. Joins and Resultants""; ""Chapter 2. Abelian monoid varieties""; ""2.1. Monoids""; ""2.2. Limits""; ""2.3. Directed systems attached to an abelian monoid""; ""2.4. Limits of covariant functors""; ""2.5. Bi-algebras""; ""2.6. Abelian group completions""
""2.7. Constructing limH*(m) from H*(M)""""2.8. Base points""; ""2.9. Primitive elements""; ""2.10. Mixed Hodge Structure""; ""Chapter 3. Chow varieties and Lawson homology""; ""3.1. The Chow variety""; ""3.2. Functoriality and Chow varieties""; ""3.3. Functoriality: algebraic context""; ""3.4. The additive monoid""; ""3.5. Lawson homology""; ""Chapter 4. Correspondences and Lawson homology""; ""4.1. Correspondence homomorphisms""; ""4.2. The Chow correspondence homomorphism""; ""4.3. The Chow correspondence homomorphism and Lawson homology""
""Chapter 5. ""Multiplication"" of algebraic cycles""""5.1. The multiplicative structure on Chow varieties""; ""5.2. Bilinear pairings on group completions""; ""5.3. The multiplicative structure on Lawson homology""; ""5.4. The ring structure on Lawson homology of P[sup(0)]""; ""Chapter 6. Operations in Lawson homology""; ""6.1. The structure of the algebra A""; ""6.2. A ""geometric"" description of s""; ""6.3. A homological description of iterates of s""; ""6.4. The connection between s and the correspondence homomorphism""
""6.5. The operator Ï?[sub(j)]and the Chow correspondence homomorphism""""6.6. The operator h""; ""Chapter 7. Filtrations""; ""7.1. The Hodge Filtration""; ""7.2. The Geometric filtration""; ""7.3. The Topological filtration""; ""7.4. The Correspondence subspace""; ""7.5. Equality of correspondence and topological filtrations""; ""Appendix A. Mixed Hodge Structures, Homology, and Cycle classes""; ""A.1. Mixed Hodge Structure on homology and cohomology""; ""A.2. Homology and cohomology of smooth varieties""; ""A.3. Cycle classes in homology""
""A.4. Change of cycle class under l.c.i. morphisms""""A.5. Relation to birational change of correspondence""; ""A.6. Correspondences and suspensions""; ""Appendix B. Trace maps and the Dold-Thom Theorem""; ""B.1. The inverse image mapping on homology attached to a ""weighted map""""; ""B.2. The Dold-Thom theorem""; ""Appendix Q. On the group completion of a simplicial monoid""; ""Q.1. Rings of fractions""; ""Q.2. Grading of RS-[sup(1)]""; ""Q.3. The Eilenberg-Moore spectral sequence""; ""Q.4. A comparison lemma""; ""Q.5. Good simplicial monoids""; ""Q.6. Homology of the group completion""
""Q.7. Applications to K-theory""
Record Nr. UNINA-9910480557303321
Friedlander E. M (Eric M.), <1944->  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1994
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur
Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur
Autore Friedlander E. M (Eric M.), <1944->
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1994
Descrizione fisica 1 online resource (126 p.)
Disciplina 516.3/5
Collana Memoirs of the American Mathematical Society
Soggetto topico Algebraic cycles
Filters (Mathematics)
Homology theory
ISBN 1-4704-0108-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Introduction""; ""Chapter 1. Questions and Speculations""; ""1.1. The nitrations""; ""1.2. Dependence on the projective imbedding""; ""1.3. The ""Strong Lefschetz"" mapping in Lawson Homology""; ""1.4. Equivalence relations on algebraic cycles""; ""1.5. Stabilized homotopy of moduli spaces""; ""1.6. Joins and Resultants""; ""Chapter 2. Abelian monoid varieties""; ""2.1. Monoids""; ""2.2. Limits""; ""2.3. Directed systems attached to an abelian monoid""; ""2.4. Limits of covariant functors""; ""2.5. Bi-algebras""; ""2.6. Abelian group completions""
""2.7. Constructing limH*(m) from H*(M)""""2.8. Base points""; ""2.9. Primitive elements""; ""2.10. Mixed Hodge Structure""; ""Chapter 3. Chow varieties and Lawson homology""; ""3.1. The Chow variety""; ""3.2. Functoriality and Chow varieties""; ""3.3. Functoriality: algebraic context""; ""3.4. The additive monoid""; ""3.5. Lawson homology""; ""Chapter 4. Correspondences and Lawson homology""; ""4.1. Correspondence homomorphisms""; ""4.2. The Chow correspondence homomorphism""; ""4.3. The Chow correspondence homomorphism and Lawson homology""
""Chapter 5. ""Multiplication"" of algebraic cycles""""5.1. The multiplicative structure on Chow varieties""; ""5.2. Bilinear pairings on group completions""; ""5.3. The multiplicative structure on Lawson homology""; ""5.4. The ring structure on Lawson homology of P[sup(0)]""; ""Chapter 6. Operations in Lawson homology""; ""6.1. The structure of the algebra A""; ""6.2. A ""geometric"" description of s""; ""6.3. A homological description of iterates of s""; ""6.4. The connection between s and the correspondence homomorphism""
""6.5. The operator Ï?[sub(j)]and the Chow correspondence homomorphism""""6.6. The operator h""; ""Chapter 7. Filtrations""; ""7.1. The Hodge Filtration""; ""7.2. The Geometric filtration""; ""7.3. The Topological filtration""; ""7.4. The Correspondence subspace""; ""7.5. Equality of correspondence and topological filtrations""; ""Appendix A. Mixed Hodge Structures, Homology, and Cycle classes""; ""A.1. Mixed Hodge Structure on homology and cohomology""; ""A.2. Homology and cohomology of smooth varieties""; ""A.3. Cycle classes in homology""
""A.4. Change of cycle class under l.c.i. morphisms""""A.5. Relation to birational change of correspondence""; ""A.6. Correspondences and suspensions""; ""Appendix B. Trace maps and the Dold-Thom Theorem""; ""B.1. The inverse image mapping on homology attached to a ""weighted map""""; ""B.2. The Dold-Thom theorem""; ""Appendix Q. On the group completion of a simplicial monoid""; ""Q.1. Rings of fractions""; ""Q.2. Grading of RS-[sup(1)]""; ""Q.3. The Eilenberg-Moore spectral sequence""; ""Q.4. A comparison lemma""; ""Q.5. Good simplicial monoids""; ""Q.6. Homology of the group completion""
""Q.7. Applications to K-theory""
Record Nr. UNINA-9910788755203321
Friedlander E. M (Eric M.), <1944->  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1994
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur
Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur
Autore Friedlander E. M (Eric M.), <1944->
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1994
Descrizione fisica 1 online resource (126 p.)
Disciplina 516.3/5
Collana Memoirs of the American Mathematical Society
Soggetto topico Algebraic cycles
Filters (Mathematics)
Homology theory
ISBN 1-4704-0108-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Introduction""; ""Chapter 1. Questions and Speculations""; ""1.1. The nitrations""; ""1.2. Dependence on the projective imbedding""; ""1.3. The ""Strong Lefschetz"" mapping in Lawson Homology""; ""1.4. Equivalence relations on algebraic cycles""; ""1.5. Stabilized homotopy of moduli spaces""; ""1.6. Joins and Resultants""; ""Chapter 2. Abelian monoid varieties""; ""2.1. Monoids""; ""2.2. Limits""; ""2.3. Directed systems attached to an abelian monoid""; ""2.4. Limits of covariant functors""; ""2.5. Bi-algebras""; ""2.6. Abelian group completions""
""2.7. Constructing limH*(m) from H*(M)""""2.8. Base points""; ""2.9. Primitive elements""; ""2.10. Mixed Hodge Structure""; ""Chapter 3. Chow varieties and Lawson homology""; ""3.1. The Chow variety""; ""3.2. Functoriality and Chow varieties""; ""3.3. Functoriality: algebraic context""; ""3.4. The additive monoid""; ""3.5. Lawson homology""; ""Chapter 4. Correspondences and Lawson homology""; ""4.1. Correspondence homomorphisms""; ""4.2. The Chow correspondence homomorphism""; ""4.3. The Chow correspondence homomorphism and Lawson homology""
""Chapter 5. ""Multiplication"" of algebraic cycles""""5.1. The multiplicative structure on Chow varieties""; ""5.2. Bilinear pairings on group completions""; ""5.3. The multiplicative structure on Lawson homology""; ""5.4. The ring structure on Lawson homology of P[sup(0)]""; ""Chapter 6. Operations in Lawson homology""; ""6.1. The structure of the algebra A""; ""6.2. A ""geometric"" description of s""; ""6.3. A homological description of iterates of s""; ""6.4. The connection between s and the correspondence homomorphism""
""6.5. The operator Ï?[sub(j)]and the Chow correspondence homomorphism""""6.6. The operator h""; ""Chapter 7. Filtrations""; ""7.1. The Hodge Filtration""; ""7.2. The Geometric filtration""; ""7.3. The Topological filtration""; ""7.4. The Correspondence subspace""; ""7.5. Equality of correspondence and topological filtrations""; ""Appendix A. Mixed Hodge Structures, Homology, and Cycle classes""; ""A.1. Mixed Hodge Structure on homology and cohomology""; ""A.2. Homology and cohomology of smooth varieties""; ""A.3. Cycle classes in homology""
""A.4. Change of cycle class under l.c.i. morphisms""""A.5. Relation to birational change of correspondence""; ""A.6. Correspondences and suspensions""; ""Appendix B. Trace maps and the Dold-Thom Theorem""; ""B.1. The inverse image mapping on homology attached to a ""weighted map""""; ""B.2. The Dold-Thom theorem""; ""Appendix Q. On the group completion of a simplicial monoid""; ""Q.1. Rings of fractions""; ""Q.2. Grading of RS-[sup(1)]""; ""Q.3. The Eilenberg-Moore spectral sequence""; ""Q.4. A comparison lemma""; ""Q.5. Good simplicial monoids""; ""Q.6. Homology of the group completion""
""Q.7. Applications to K-theory""
Record Nr. UNINA-9910828267203321
Friedlander E. M (Eric M.), <1944->  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1994
Materiale a stampa
Lo trovi qui: Univ. Federico II
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P-adic monodromy and the Birch and Swinnerton-Dyer conjecture : a Workshop on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, August 12-16, 1991 / / Barry Mazur, Glenn Stevens, editors
P-adic monodromy and the Birch and Swinnerton-Dyer conjecture : a Workshop on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, August 12-16, 1991 / / Barry Mazur, Glenn Stevens, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1994]
Descrizione fisica 1 online resource (xiii, 315 pages) : illustrations
Disciplina 512/.74
Collana Contemporary mathematics
Soggetto topico p-adic analysis
Homology theory
Birch-Swinnerton-Dyer conjecture
Soggetto genere / forma Electronic books.
ISBN 0-8218-7756-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910480705403321
Providence, Rhode Island : , : American Mathematical Society, , [1994]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui