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Euler systems / / by Karl Rubin
Euler systems / / by Karl Rubin
Autore Rubin Karl
Pubbl/distr/stampa Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000
Descrizione fisica 1 online resource (241 p.)
Disciplina 512/.74
Collana Annals of Mathematics Studies
Soggetto topico Algebraic number theory
p-adic numbers
Soggetto non controllato Abelian extension
Abelian variety
Absolute Galois group
Algebraic closure
Barry Mazur
Big O notation
Birch and Swinnerton-Dyer conjecture
Cardinality
Class field theory
Coefficient
Cohomology
Complex multiplication
Conjecture
Corollary
Cyclotomic field
Dimension (vector space)
Divisibility rule
Eigenvalues and eigenvectors
Elliptic curve
Error term
Euler product
Euler system
Exact sequence
Existential quantification
Field of fractions
Finite set
Functional equation
Galois cohomology
Galois group
Galois module
Gauss sum
Global field
Heegner point
Ideal class group
Integer
Inverse limit
Inverse system
Karl Rubin
Local field
Mathematical induction
Maximal ideal
Modular curve
Modular elliptic curve
Natural number
Orthogonality
P-adic number
Pairing
Principal ideal
R-factor (crystallography)
Ralph Greenberg
Remainder
Residue field
Ring of integers
Scientific notation
Selmer group
Subgroup
Tate module
Taylor series
Tensor product
Theorem
Upper and lower bounds
Victor Kolyvagin
ISBN 0-691-05075-9
1-4008-6520-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index
Record Nr. UNINA-9910786510103321
Rubin Karl  
Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Euler systems / / by Karl Rubin
Euler systems / / by Karl Rubin
Autore Rubin Karl
Pubbl/distr/stampa Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000
Descrizione fisica 1 online resource (241 p.)
Disciplina 512/.74
Collana Annals of Mathematics Studies
Soggetto topico Algebraic number theory
p-adic numbers
Soggetto non controllato Abelian extension
Abelian variety
Absolute Galois group
Algebraic closure
Barry Mazur
Big O notation
Birch and Swinnerton-Dyer conjecture
Cardinality
Class field theory
Coefficient
Cohomology
Complex multiplication
Conjecture
Corollary
Cyclotomic field
Dimension (vector space)
Divisibility rule
Eigenvalues and eigenvectors
Elliptic curve
Error term
Euler product
Euler system
Exact sequence
Existential quantification
Field of fractions
Finite set
Functional equation
Galois cohomology
Galois group
Galois module
Gauss sum
Global field
Heegner point
Ideal class group
Integer
Inverse limit
Inverse system
Karl Rubin
Local field
Mathematical induction
Maximal ideal
Modular curve
Modular elliptic curve
Natural number
Orthogonality
P-adic number
Pairing
Principal ideal
R-factor (crystallography)
Ralph Greenberg
Remainder
Residue field
Ring of integers
Scientific notation
Selmer group
Subgroup
Tate module
Taylor series
Tensor product
Theorem
Upper and lower bounds
Victor Kolyvagin
ISBN 0-691-05075-9
1-4008-6520-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index
Record Nr. UNINA-9910816804403321
Rubin Karl  
Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz
Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz
Autore Shatz Stephen S.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (265 pages)
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Homology theory
Finite groups
Algebraic number theory
Soggetto non controllato Abelian group
Alexander Grothendieck
Algebraic closure
Algebraic extension
Algebraic geometry
Algebraic number field
Brauer group
Category of abelian groups
Category of sets
Characterization (mathematics)
Class field theory
Cohomological dimension
Cohomology
Cokernel
Commutative diagram
Composition series
Computation
Connected component (graph theory)
Coset
Cup product
Dedekind domain
Degeneracy (mathematics)
Diagram (category theory)
Dimension (vector space)
Diophantine geometry
Discrete group
Equivalence of categories
Exact sequence
Existential quantification
Explicit formula
Exponential function
Family of sets
Field extension
Finite group
Fundamental class
G-module
Galois cohomology
Galois extension
Galois group
Galois module
Galois theory
General topology
Geometry
Grothendieck topology
Group cohomology
Group extension
Group scheme
Group theory
Hilbert symbol
Hopf algebra
Ideal (ring theory)
Inequality (mathematics)
Injective sheaf
Inner automorphism
Inverse limit
Kummer theory
Lie algebra
Linear independence
Local field
Mathematical induction
Mathematician
Mathematics
Module (mathematics)
Morphism
Natural topology
Neighbourhood (mathematics)
Normal extension
Normal subgroup
Number theory
P-adic number
P-group
Polynomial
Pontryagin duality
Power series
Prime number
Principal ideal
Profinite group
Quadratic reciprocity
Quotient group
Ring of integers
Sheaf (mathematics)
Special case
Subcategory
Subgroup
Supernatural number
Sylow theorems
Tangent space
Theorem
Topological group
Topological property
Topological ring
Topological space
Topology
Torsion group
Torsion subgroup
Transcendence degree
Triviality (mathematics)
Unique factorization domain
Variable (mathematics)
Vector space
ISBN 1-4008-8185-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. PROFINITE GROUPS -- CHAPTER II. COHOMOLOGY OF PROFINITE GROUPS -- CHAPTER III. COHOMOLOGICAL DIMENSION -- CHAPTER IV. GALOIS COHOMOLOGY AND FIELD THEORY -- CHAPTER V. LOCAL CLASS FIELD THEORY -- CHAPTER VI. DUALITY -- BIBLIOGRAPHY
Record Nr. UNINA-9910154751103321
Shatz Stephen S.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui