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Computational arithmetic geometry : AMS Special Session, April 29-30, 2006, San Francisco State University, San Francisco, California / / Kristin E. Lauter, Kenneth A. Ribet, editors
Computational arithmetic geometry : AMS Special Session, April 29-30, 2006, San Francisco State University, San Francisco, California / / Kristin E. Lauter, Kenneth A. Ribet, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2008]
Descrizione fisica 1 online resource (146 p.)
Disciplina 516.3/5
Collana Contemporary mathematics
Soggetto topico Arithmetical algebraic geometry
Algebraic number theory
Soggetto genere / forma Electronic books.
ISBN 0-8218-8142-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Schedule of talks""; ""Results of Cohen�Lenstra type for quadratic function fields""; ""The hardness of computing an eigenform""; ""Constructing elliptic curves of prime order""; ""Space-time codes and non-associative division algebras arising from elliptic curves""; ""Points of low height on P1 over number fields and bounds for torsion in class groups""; ""Supersingular genus-2 curves over fields of characteristic 3""; ""Search techniques for root-unitary polynomials""; ""Yet more elements in the Shafarevich�Tate group of the jacobian of a Fermat Curve""
""Stable reduction of X0(81)""""Isomorphism types of commutative algebras of finite rank over an algebraically closed field""; ""A short guide to p-torsion of abelian varieties in characteristic p""
Record Nr. UNINA-9910480287403321
Providence, Rhode Island : , : American Mathematical Society, , [2008]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational arithmetic geometry : AMS Special Session, April 29-30, 2006, San Francisco State University, San Francisco, California / / Kristin E. Lauter, Kenneth A. Ribet, editors
Computational arithmetic geometry : AMS Special Session, April 29-30, 2006, San Francisco State University, San Francisco, California / / Kristin E. Lauter, Kenneth A. Ribet, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2008]
Descrizione fisica 1 online resource (146 p.)
Disciplina 516.3/5
Collana Contemporary mathematics
Soggetto topico Arithmetical algebraic geometry
Algebraic number theory
ISBN 0-8218-8142-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents -- Preface -- Schedule of talks -- Results of Cohen-Lenstra type for quadratic function fields -- The hardness of computing an eigenform -- Constructing elliptic curves of prime order -- Space-time codes and non-associative division algebras arising from elliptic curves -- Points of low height on P1 over number fields and bounds for torsion in class groups -- Supersingular genus-2 curves over fields of characteristic 3 -- Search techniques for root-unitary polynomials -- Yet more elements in the Shafarevich-Tate group of the Jacobian of a Fermat Curve -- Stable reduction of X0(81) -- Isomorphism types of commutative algebras of finite rank over an algebraically closed field -- A short guide to p-torsion of abelian varieties in characteristic p.
Record Nr. UNINA-9910788794303321
Providence, Rhode Island : , : American Mathematical Society, , [2008]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational arithmetic geometry : AMS Special Session, April 29-30, 2006, San Francisco State University, San Francisco, California / / Kristin E. Lauter, Kenneth A. Ribet, editors
Computational arithmetic geometry : AMS Special Session, April 29-30, 2006, San Francisco State University, San Francisco, California / / Kristin E. Lauter, Kenneth A. Ribet, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2008]
Descrizione fisica 1 online resource (146 p.)
Disciplina 516.3/5
Collana Contemporary mathematics
Soggetto topico Arithmetical algebraic geometry
Algebraic number theory
ISBN 0-8218-8142-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents -- Preface -- Schedule of talks -- Results of Cohen-Lenstra type for quadratic function fields -- The hardness of computing an eigenform -- Constructing elliptic curves of prime order -- Space-time codes and non-associative division algebras arising from elliptic curves -- Points of low height on P1 over number fields and bounds for torsion in class groups -- Supersingular genus-2 curves over fields of characteristic 3 -- Search techniques for root-unitary polynomials -- Yet more elements in the Shafarevich-Tate group of the Jacobian of a Fermat Curve -- Stable reduction of X0(81) -- Isomorphism types of commutative algebras of finite rank over an algebraically closed field -- A short guide to p-torsion of abelian varieties in characteristic p.
Record Nr. UNINA-9910809224503321
Providence, Rhode Island : , : American Mathematical Society, , [2008]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Current trends in arithmetical algebraic geometry : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, held August 18-24, 1985, with support from the National Science Foundation / / Kenneth A. Ribet, editor
Current trends in arithmetical algebraic geometry : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, held August 18-24, 1985, with support from the National Science Foundation / / Kenneth A. Ribet, editor
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1987]
Descrizione fisica 1 online resource (311 p.)
Disciplina 516.3/5
Collana Contemporary mathematics
Soggetto topico Arithmetical algebraic geometry
ISBN 0-8218-3385-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents -- Introduction -- Height pairing between algebraic cycles -- Introduction -- 1. Height pairing in geometric situation (global construction) -- 2. Local indexes over non-archimedean places -- 3. Local indexes over C or R -- 4. Height pairing over number fields -- 5. Some conjectures and problems -- Survey of Drinfel'd modules -- Introduction -- Chapter 1. Algebraic theory of Drinfel 'd modules -- 1. Endomorphisms of the additive group -- 2. Definition of Drinfei 'd module over a field -- 3. Division points -- 4. Isogenies -- 5. Drinfel 'd modules over a base scheme -- 6. Level structure and the moduli space -- Chapter 2. Analytic theory of the affine modules of Drinfel 'd -- 1. Exponential function associated to a lattice -- 2. Characterization of Drinfel 'd modules over Ce17E -- 3. Discrete modules in a vector space over a local field -- 4. Moduli spaces as homogeneous spaces (local theory) -- 5. Moduli spaces as homogeneous spaces (adelic theory) -- Chapter 3. The rigid analytic moduli space -- 1. Norms on vector spaces over a local field -- 2. The building for PGL(V) over a local field -- 3. Metric on the building -- 4. The mapping from the p-adic symmetric space to the building -- 5. Filtration of the I-dimensional p-adic symmetric space -- Chapter 4. Cohomology of the moduli space -- 1. Generalities of the cohomology of rigid analytic spaces -- 2. Cohomology of Î*2 (C17E --) -- 3. A simple topological model -- 4. Cohomology of the moduli space with fixed level structure -- Chapter 5. Applications to relations between automorphic forms and Galois representations -- 8. Integrale d 'un produit de premieres classes de Chern. cas general (esquisse) -- 9. IC2 et iscmorphisme de Riemann-Roch -- 10. Metriser IC2 -- 11. Le theoreme -- p-adic periods and p-adic etale cohomology -- An introduction to higher dimensional Arakelov theory -- Diophantine problems in complex hyperbolic analysis -- Cubic exponential sums and Galois representations -- Lettre -- J-F. Mestre -- A survey of the theory of height functions -- 1. Weil heights -- 2. Metrized line bundles -- 3. The degree of a metrtzed line bundle -- 4. The modular height of an abelian variety -- 5. Canonical heights on abelian varieties -- 6. The difference of the Well and canonical heights -- 7. Lower bounds for the canonical height -- 8. Specialization theorems -- Presentation De La Theorie D'Araicelov.
Record Nr. UNINA-9910146555803321
Providence, Rhode Island : , : American Mathematical Society, , [1987]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Current trends in arithmetical algebraic geometry : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, held August 18-24, 1985, with support from the National Science Foundation / / Kenneth A. Ribet, editor
Current trends in arithmetical algebraic geometry : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, held August 18-24, 1985, with support from the National Science Foundation / / Kenneth A. Ribet, editor
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1987]
Descrizione fisica 1 online resource (311 p.)
Disciplina 516.3/5
Collana Contemporary mathematics
Soggetto topico Arithmetical algebraic geometry
ISBN 0-8218-3385-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents -- Introduction -- Height pairing between algebraic cycles -- Introduction -- 1. Height pairing in geometric situation (global construction) -- 2. Local indexes over non-archimedean places -- 3. Local indexes over C or R -- 4. Height pairing over number fields -- 5. Some conjectures and problems -- Survey of Drinfel'd modules -- Introduction -- Chapter 1. Algebraic theory of Drinfel 'd modules -- 1. Endomorphisms of the additive group -- 2. Definition of Drinfei 'd module over a field -- 3. Division points -- 4. Isogenies -- 5. Drinfel 'd modules over a base scheme -- 6. Level structure and the moduli space -- Chapter 2. Analytic theory of the affine modules of Drinfel 'd -- 1. Exponential function associated to a lattice -- 2. Characterization of Drinfel 'd modules over Ce17E -- 3. Discrete modules in a vector space over a local field -- 4. Moduli spaces as homogeneous spaces (local theory) -- 5. Moduli spaces as homogeneous spaces (adelic theory) -- Chapter 3. The rigid analytic moduli space -- 1. Norms on vector spaces over a local field -- 2. The building for PGL(V) over a local field -- 3. Metric on the building -- 4. The mapping from the p-adic symmetric space to the building -- 5. Filtration of the I-dimensional p-adic symmetric space -- Chapter 4. Cohomology of the moduli space -- 1. Generalities of the cohomology of rigid analytic spaces -- 2. Cohomology of Î*2 (C17E --) -- 3. A simple topological model -- 4. Cohomology of the moduli space with fixed level structure -- Chapter 5. Applications to relations between automorphic forms and Galois representations -- 8. Integrale d 'un produit de premieres classes de Chern. cas general (esquisse) -- 9. IC2 et iscmorphisme de Riemann-Roch -- 10. Metriser IC2 -- 11. Le theoreme -- p-adic periods and p-adic etale cohomology -- An introduction to higher dimensional Arakelov theory -- Diophantine problems in complex hyperbolic analysis -- Cubic exponential sums and Galois representations -- Lettre -- J-F. Mestre -- A survey of the theory of height functions -- 1. Weil heights -- 2. Metrized line bundles -- 3. The degree of a metrtzed line bundle -- 4. The modular height of an abelian variety -- 5. Canonical heights on abelian varieties -- 6. The difference of the Well and canonical heights -- 7. Lower bounds for the canonical height -- 8. Specialization theorems -- Presentation De La Theorie D'Araicelov.
Record Nr. UNISA-996320720503316
Providence, Rhode Island : , : American Mathematical Society, , [1987]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui