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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->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hodge theory, complex geometry, and representation theory : NSF-CBMS Regional Conference in Mathematics, June 18, 2012, Texas Christian University, Fort Worth, Texas / / Robert S. Doran, Greg Friedman, Scott Nollet, editors
| Hodge theory, complex geometry, and representation theory : NSF-CBMS Regional Conference in Mathematics, June 18, 2012, Texas Christian University, Fort Worth, Texas / / Robert S. Doran, Greg Friedman, Scott Nollet, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (330 p.) |
| Disciplina | 514/.74 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Algebraic cycles
Hodge theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1470-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""EDITORIAL COMMITTEE""; ""Contents""; ""Preface""; ""Conference Attendees""; ""Conference Speakers""; ""The smooth center of the cohomology of a singular variety""; ""1. Definition and properties of the smooth center of the cohomology""; ""2. H1sm(C) of a singular curve""; ""3. A simple strange surface""; ""4. Revisiting the example of Barbieri-Viale and Srinivas""; ""5. Examples of varieties with normal crossings""; ""6. More on varieties with normal crossings""; ""References""; ""Developments in Noether-Lefschetz theory""; ""Introduction""; ""1. The classical theorem""
""2. New ideas: the infinitesimal approach""""3. Components of the Noether-Lefschetz locus""; ""4. Class groups and Noetherâ€?s theorem""; ""References""; ""Compact quotients of non-classical domains are not KÂ?ahler""; ""Introduction""; ""1. Compact Subvarieties""; ""2. Harmonic and Pluriharmonic Maps""; ""3. Proof of Theorem 0.1""; ""References""; ""Algebraicity of Hodge loci for variations of Hodge structure""; ""1. Introduction""; ""2. Results, consequences and generalizations""; ""3. Reduction to a Local Statement""; ""4. Splittings of MHS and Asymptotics of Period Maps"" ""5. The Local Statement: One variable case""""6. The Local Statement: Bivariate Case""; ""References""; ""On the differential equations satisfied by certain Harish-Chandra modules""; ""1. Introduction""; ""2. Notations and preliminaries""; ""3. The three filtrations""; ""4. The spectral sequences associated to the filtrations""; ""5. The spectral sequence associated to the filtration""; ""6. The spectral sequence associated to the filtration""; ""7. Involutivity and the characteristic module of the PDE associated to""; ""8. The characteristic variety"" ""Appendix A. The symbol spectral sequence and higher characteristic varieties""""References""; ""Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces""; ""1. Introduction""; ""2. Construction of fans and their boundary component structures""; ""References""; ""Notes on the representation theory of â??(â??)""; ""Introduction""; ""1. Irreducible representations of â??""; ""2. Parabolic induction""; ""3. Eisenstein series""; ""4. Modular forms""; ""5. Cuspidal automorphic forms""; ""6. Cohomology""; ""7. Appendix I: ²( ) and the { _{ }^{±}}"" ""7. Integral formulations and the Milnor regulator"" |
| Record Nr. | UNINA-9910480286403321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hodge theory, complex geometry, and representation theory : NSF-CBMS Regional Conference in Mathematics, June 18, 2012, Texas Christian University, Fort Worth, Texas / / Robert S. Doran, Greg Friedman, Scott Nollet, editors
| Hodge theory, complex geometry, and representation theory : NSF-CBMS Regional Conference in Mathematics, June 18, 2012, Texas Christian University, Fort Worth, Texas / / Robert S. Doran, Greg Friedman, Scott Nollet, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (330 p.) |
| Disciplina | 514/.74 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic cycles
Hodge theory |
| ISBN | 1-4704-1470-8 |
| Classificazione | 14C2514C3014D0714M1720G0522E4522E4622E4732G2032M10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | EDITORIAL COMMITTEE -- Contents -- Preface -- Conference Attendees -- Conference Speakers -- The smooth center of the cohomology of a singular variety -- 1. Definition and properties of the smooth center of the cohomology -- 2. H1sm(C) of a singular curve -- 3. A simple strange surface -- 4. Revisiting the example of Barbieri-Viale and Srinivas -- 5. Examples of varieties with normal crossings -- 6. More on varieties with normal crossings -- References -- Developments in Noether-Lefschetz theory -- Introduction -- 1. The classical theorem -- 2. New ideas: the infinitesimal approach -- 3. Components of the Noether-Lefschetz locus -- 4. Class groups and Noether's theorem -- References -- Compact quotients of non-classical domains are not KÂ?ahler -- Introduction -- 1. Compact Subvarieties -- 2. Harmonic and Pluriharmonic Maps -- 3. Proof of Theorem 0.1 -- References -- Algebraicity of Hodge loci for variations of Hodge structure -- 1. Introduction -- 2. Results, consequences and generalizations -- 3. Reduction to a Local Statement -- 4. Splittings of MHS and Asymptotics of Period Maps -- 5. The Local Statement: One variable case -- 6. The Local Statement: Bivariate Case -- References -- On the differential equations satisfied by certain Harish-Chandra modules -- 1. Introduction -- 2. Notations and preliminaries -- 3. The three filtrations -- 4. The spectral sequences associated to the filtrations -- 5. The spectral sequence associated to the filtration -- 6. The spectral sequence associated to the filtration -- 7. Involutivity and the characteristic module of the PDE associated to -- 8. The characteristic variety -- Appendix A. The symbol spectral sequence and higher characteristic varieties -- References -- Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces -- 1. Introduction -- 2. Construction of fans and their boundary component structures -- References -- Notes on the representation theory of ... -- Introduction -- 1. Irreducible representations of â?? -- 2. Parabolic induction -- 3. Eisenstein series -- 4. Modular forms -- 5. Cuspidal automorphic forms -- 6. Cohomology -- 7. Appendix I: ²( ) and the { _{ }^{±}} -- 7. Integral formulations and the Milnor regulator cont... |
| Record Nr. | UNINA-9910786541703321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hodge theory, complex geometry, and representation theory : NSF-CBMS Regional Conference in Mathematics, June 18, 2012, Texas Christian University, Fort Worth, Texas / / Robert S. Doran, Greg Friedman, Scott Nollet, editors
| Hodge theory, complex geometry, and representation theory : NSF-CBMS Regional Conference in Mathematics, June 18, 2012, Texas Christian University, Fort Worth, Texas / / Robert S. Doran, Greg Friedman, Scott Nollet, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (330 p.) |
| Disciplina | 514/.74 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic cycles
Hodge theory |
| ISBN | 1-4704-1470-8 |
| Classificazione | 14C2514C3014D0714M1720G0522E4522E4622E4732G2032M10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | EDITORIAL COMMITTEE -- Contents -- Preface -- Conference Attendees -- Conference Speakers -- The smooth center of the cohomology of a singular variety -- 1. Definition and properties of the smooth center of the cohomology -- 2. H1sm(C) of a singular curve -- 3. A simple strange surface -- 4. Revisiting the example of Barbieri-Viale and Srinivas -- 5. Examples of varieties with normal crossings -- 6. More on varieties with normal crossings -- References -- Developments in Noether-Lefschetz theory -- Introduction -- 1. The classical theorem -- 2. New ideas: the infinitesimal approach -- 3. Components of the Noether-Lefschetz locus -- 4. Class groups and Noether's theorem -- References -- Compact quotients of non-classical domains are not KÂ?ahler -- Introduction -- 1. Compact Subvarieties -- 2. Harmonic and Pluriharmonic Maps -- 3. Proof of Theorem 0.1 -- References -- Algebraicity of Hodge loci for variations of Hodge structure -- 1. Introduction -- 2. Results, consequences and generalizations -- 3. Reduction to a Local Statement -- 4. Splittings of MHS and Asymptotics of Period Maps -- 5. The Local Statement: One variable case -- 6. The Local Statement: Bivariate Case -- References -- On the differential equations satisfied by certain Harish-Chandra modules -- 1. Introduction -- 2. Notations and preliminaries -- 3. The three filtrations -- 4. The spectral sequences associated to the filtrations -- 5. The spectral sequence associated to the filtration -- 6. The spectral sequence associated to the filtration -- 7. Involutivity and the characteristic module of the PDE associated to -- 8. The characteristic variety -- Appendix A. The symbol spectral sequence and higher characteristic varieties -- References -- Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces -- 1. Introduction -- 2. Construction of fans and their boundary component structures -- References -- Notes on the representation theory of ... -- Introduction -- 1. Irreducible representations of â?? -- 2. Parabolic induction -- 3. Eisenstein series -- 4. Modular forms -- 5. Cuspidal automorphic forms -- 6. Cohomology -- 7. Appendix I: ²( ) and the { _{ }^{±}} -- 7. Integral formulations and the Milnor regulator cont... |
| Record Nr. | UNINA-9910821960203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Intersections of Hirzebruch-Zagier divisors and CM cycles / Benjamin Howard, Tonghai Yang
| Intersections of Hirzebruch-Zagier divisors and CM cycles / Benjamin Howard, Tonghai Yang |
| Autore | Howard, Benjamin |
| Pubbl/distr/stampa | Heidelberg ; New York : Springer, c2012 |
| Descrizione fisica | viii, 140 p. : ill. ; 24 cm |
| Disciplina | 512.7 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 2041 |
| Soggetto topico |
Shimura varieties
Eisenstein series Algebraic cycles Arakelov theory |
| ISBN | 9783642239786 |
| Classificazione |
AMS 11-XX
AMS 11G15 AMS 11F41 AMS 14G40 LC QA242.5.H69 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001808719707536 |
|
Howard, Benjamin
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| Heidelberg ; New York : Springer, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Iterated integrals and cycles on algebraic manifolds [[electronic resource] /] / Bruno Harris
| Iterated integrals and cycles on algebraic manifolds [[electronic resource] /] / Bruno Harris |
| Autore | Harris Bruno |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina |
514.3
516.35 |
| Altri autori (Persone) | ChenK.-T <1923-1987.> (Kuo-Tsai) |
| Collana | Nankai tracts in mathematics |
| Soggetto topico |
Integrals
Algebraic cycles Algebraic number theory Manifolds (Mathematics) Geometry, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-87250-4
9786611872502 981-256-257-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Interated Integrals and Cycles on Algebraic Manifolds; Preface; Contents; 1. Iterated Integrals, Chen's Flat Connection and 1; 2. Iterated Integrals on Compact Riemann Surfaces; 3. The Generalized Linking Pairing and the Heat Kernel; Appendix: Orientations, Fiber Integration; Bibliography; List of Notations; Index |
| Record Nr. | UNINA-9910450330503321 |
|
Harris Bruno
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Iterated integrals and cycles on algebraic manifolds [[electronic resource] /] / Bruno Harris
| Iterated integrals and cycles on algebraic manifolds [[electronic resource] /] / Bruno Harris |
| Autore | Harris Bruno |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina |
514.3
516.35 |
| Altri autori (Persone) | ChenK.-T <1923-1987.> (Kuo-Tsai) |
| Collana | Nankai tracts in mathematics |
| Soggetto topico |
Integrals
Algebraic cycles Algebraic number theory Manifolds (Mathematics) Geometry, Algebraic |
| ISBN |
1-281-87250-4
9786611872502 981-256-257-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Interated Integrals and Cycles on Algebraic Manifolds; Preface; Contents; 1. Iterated Integrals, Chen's Flat Connection and 1; 2. Iterated Integrals on Compact Riemann Surfaces; 3. The Generalized Linking Pairing and the Heat Kernel; Appendix: Orientations, Fiber Integration; Bibliography; List of Notations; Index |
| Record Nr. | UNINA-9910783467303321 |
|
Harris Bruno
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Iterated integrals and cycles on algebraic manifolds [[electronic resource] /] / Bruno Harris
| Iterated integrals and cycles on algebraic manifolds [[electronic resource] /] / Bruno Harris |
| Autore | Harris Bruno |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina |
514.3
516.35 |
| Altri autori (Persone) | ChenK.-T <1923-1987.> (Kuo-Tsai) |
| Collana | Nankai tracts in mathematics |
| Soggetto topico |
Integrals
Algebraic cycles Algebraic number theory Manifolds (Mathematics) Geometry, Algebraic |
| ISBN |
1-281-87250-4
9786611872502 981-256-257-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Interated Integrals and Cycles on Algebraic Manifolds; Preface; Contents; 1. Iterated Integrals, Chen's Flat Connection and 1; 2. Iterated Integrals on Compact Riemann Surfaces; 3. The Generalized Linking Pairing and the Heat Kernel; Appendix: Orientations, Fiber Integration; Bibliography; List of Notations; Index |
| Record Nr. | UNINA-9910810508903321 |
|
Harris Bruno
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Segre's reflexivity and an inductive characterization of hyperquadrics / / Yasuyuki Kachi, Eiichi Sato
| Segre's reflexivity and an inductive characterization of hyperquadrics / / Yasuyuki Kachi, Eiichi Sato |
| Autore | Kachi Yasuyuki <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (133 p.) |
| Disciplina |
510 s
516.3/53 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Varieties (Universal algebra)
Algebraic cycles Intersection theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0361-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""0. Introduction""; ""1. The universal pseudo�quotient for a family of subvarieties""; ""2. Normal bundles of quadrics in X � The splitting type on lines""; ""3. Morphisms from quadrics to Grassmannians.""; ""4. Pointwise uniform vector bundles on non-singular quadrics""; ""5. Theory of extensions of families over Hilbert schemes.""; ""6. Existence of algebraic quotient � proof of Theorem 0.3""; ""A. Appendix. Deformations of vector bundles on infinitesimallyrigid projective varieties with null global i�forms""; ""References"" |
| Record Nr. | UNINA-9910480984303321 |
|
Kachi Yasuyuki <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Segre's reflexivity and an inductive characterization of hyperquadrics / / Yasuyuki Kachi, Eiichi Sato
| Segre's reflexivity and an inductive characterization of hyperquadrics / / Yasuyuki Kachi, Eiichi Sato |
| Autore | Kachi Yasuyuki <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (133 p.) |
| Disciplina |
510 s
516.3/53 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Varieties (Universal algebra)
Algebraic cycles Intersection theory |
| ISBN | 1-4704-0361-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""0. Introduction""; ""1. The universal pseudo�quotient for a family of subvarieties""; ""2. Normal bundles of quadrics in X � The splitting type on lines""; ""3. Morphisms from quadrics to Grassmannians.""; ""4. Pointwise uniform vector bundles on non-singular quadrics""; ""5. Theory of extensions of families over Hilbert schemes.""; ""6. Existence of algebraic quotient � proof of Theorem 0.3""; ""A. Appendix. Deformations of vector bundles on infinitesimallyrigid projective varieties with null global i�forms""; ""References"" |
| Record Nr. | UNINA-9910788847803321 |
|
Kachi Yasuyuki <1969->
|
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| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
