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] | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
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] | ||
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Lo trovi qui: Univ. Federico II | ||
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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] | ||
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Lo trovi qui: Univ. Federico II | ||
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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] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Dynamical scale transform in tropical geometry / / Tsuyoshi Kato (Kyoto University, Japan) |
Autore | Kato Tsuyoshi <1961-> |
Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2017] |
Descrizione fisica | 1 online resource (270 pages) |
Disciplina | 516.3/5 |
Soggetto topico |
Tropical geometry
Geometry, Algebraic |
ISBN | 981-4635-37-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910149709403321 |
Kato Tsuyoshi <1961->
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New Jersey : , : World Scientific, , [2017] | ||
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Lo trovi qui: Univ. Federico II | ||
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Enumerative algebraic geometry : proceedings of the 1989 Zeuthen Symposium / / Steven L. Kleiman, Anders Thorup, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1991] |
Descrizione fisica | 1 online resource (292 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Geometry, Algebraic
Combinatorial enumeration problems Intersection theory |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-7711-9
0-8218-5456-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Hieronymus georg zeuthen (1839�1920)""; ""How many smooth plane cubics with given j-invariant are tangent to 8 lines in general position?""; ""Triple and quadruple contact of plane curves""; ""Secant lines of smooth projective curves: an infinitesimal study of the symmetric products""; ""New bounds for fermat curves over finite fields""; ""Discriminants and limits of duals of plane curves""; ""On the inseparability of the gauss map""; ""The Brill-Segre formula for families of curves""; ""Duality for elliptic normal surface scrolls""
""A note on the Riemann-Kempf theorem for curves""""On the geometry of nodal plane cubics: the condition p""; ""Characteristic numbers of degeneracy loci""; ""On Halphen's first formula""; ""Negative intersection multiplicities on singular varieties""; ""Triple contact formulas in P3""; ""Elliptic quartic curves in a generic quintic threefold""; ""Characteristic numbers of plane curves: An excess intersection theoretical approach""; ""Degenerations of conormal varieties"" |
Record Nr. | UNINA-9910480934603321 |
Providence, Rhode Island : , : American Mathematical Society, , [1991] | ||
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Lo trovi qui: Univ. Federico II | ||
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Enumerative algebraic geometry : proceedings of the 1989 Zeuthen Symposium / / Steven L. Kleiman, Anders Thorup, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1991] |
Descrizione fisica | 1 online resource (292 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Geometry, Algebraic
Combinatorial enumeration problems Intersection theory |
ISBN |
0-8218-7711-9
0-8218-5456-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Hieronymus georg zeuthen (1839�1920)""; ""How many smooth plane cubics with given j-invariant are tangent to 8 lines in general position?""; ""Triple and quadruple contact of plane curves""; ""Secant lines of smooth projective curves: an infinitesimal study of the symmetric products""; ""New bounds for fermat curves over finite fields""; ""Discriminants and limits of duals of plane curves""; ""On the inseparability of the gauss map""; ""The Brill-Segre formula for families of curves""; ""Duality for elliptic normal surface scrolls""
""A note on the Riemann-Kempf theorem for curves""""On the geometry of nodal plane cubics: the condition p""; ""Characteristic numbers of degeneracy loci""; ""On Halphen's first formula""; ""Negative intersection multiplicities on singular varieties""; ""Triple contact formulas in P3""; ""Elliptic quartic curves in a generic quintic threefold""; ""Characteristic numbers of plane curves: An excess intersection theoretical approach""; ""Degenerations of conormal varieties"" |
Record Nr. | UNINA-9910788640603321 |
Providence, Rhode Island : , : American Mathematical Society, , [1991] | ||
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Lo trovi qui: Univ. Federico II | ||
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Enumerative algebraic geometry : proceedings of the 1989 Zeuthen Symposium / / Steven L. Kleiman, Anders Thorup, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1991] |
Descrizione fisica | 1 online resource (292 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Geometry, Algebraic
Combinatorial enumeration problems Intersection theory |
ISBN |
0-8218-7711-9
0-8218-5456-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Hieronymus georg zeuthen (1839�1920)""; ""How many smooth plane cubics with given j-invariant are tangent to 8 lines in general position?""; ""Triple and quadruple contact of plane curves""; ""Secant lines of smooth projective curves: an infinitesimal study of the symmetric products""; ""New bounds for fermat curves over finite fields""; ""Discriminants and limits of duals of plane curves""; ""On the inseparability of the gauss map""; ""The Brill-Segre formula for families of curves""; ""Duality for elliptic normal surface scrolls""
""A note on the Riemann-Kempf theorem for curves""""On the geometry of nodal plane cubics: the condition p""; ""Characteristic numbers of degeneracy loci""; ""On Halphen's first formula""; ""Negative intersection multiplicities on singular varieties""; ""Triple contact formulas in P3""; ""Elliptic quartic curves in a generic quintic threefold""; ""Characteristic numbers of plane curves: An excess intersection theoretical approach""; ""Degenerations of conormal varieties"" |
Record Nr. | UNINA-9910812560503321 |
Providence, Rhode Island : , : American Mathematical Society, , [1991] | ||
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Lo trovi qui: Univ. Federico II | ||
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Existence of the sectional capacity / / Robert Rumely, Chi Fong Lau, Robert Varley |
Autore | Rumely Robert <1952-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
Descrizione fisica | 1 online resource (145 p.) |
Disciplina |
510 s
516.3/5 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Arakelov theory
Capacity theory (Mathematics) |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0281-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""Â1. The Standard Hypotheses""; ""Â2. The Definition of the Sectional Capacity""; ""Â3. Reductions""; ""Â4. Existence of the Monic Basis for Very Ample Line Bundles""; ""Â5. Zaharjuta's Construction""; ""Â6. Local Capacities""; ""Â7. Existence of the Global Sectional Capacity""; ""Â8. A Positivity Criterion""; ""Â9. Base Change""; ""Â10. Pullbacks""; ""Â11. Products""; ""Â12. Continuity, Part I""; ""Â13. Continuity, Part II""; ""Â14. Local Capacities of Sets""; ""Â15. Approximation Theorems""; ""Appendix A. Ample Divisors and Cohomology""
""Appendix B. A Lifting Lemma""""Appendix C. Bounds for Volumes of Convex Bodies""; ""Bibliography"" |
Record Nr. | UNINA-9910480230303321 |
Rumely Robert <1952->
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Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
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Lo trovi qui: Univ. Federico II | ||
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Existence of the sectional capacity / / Robert Rumely, Chi Fong Lau, Robert Varley |
Autore | Rumely Robert <1952-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
Descrizione fisica | 1 online resource (145 p.) |
Disciplina |
510 s
516.3/5 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Arakelov theory
Capacity theory (Mathematics) |
ISBN | 1-4704-0281-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""Â1. The Standard Hypotheses""; ""Â2. The Definition of the Sectional Capacity""; ""Â3. Reductions""; ""Â4. Existence of the Monic Basis for Very Ample Line Bundles""; ""Â5. Zaharjuta's Construction""; ""Â6. Local Capacities""; ""Â7. Existence of the Global Sectional Capacity""; ""Â8. A Positivity Criterion""; ""Â9. Base Change""; ""Â10. Pullbacks""; ""Â11. Products""; ""Â12. Continuity, Part I""; ""Â13. Continuity, Part II""; ""Â14. Local Capacities of Sets""; ""Â15. Approximation Theorems""; ""Appendix A. Ample Divisors and Cohomology""
""Appendix B. A Lifting Lemma""""Appendix C. Bounds for Volumes of Convex Bodies""; ""Bibliography"" |
Record Nr. | UNINA-9910788840703321 |
Rumely Robert <1952->
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Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
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Lo trovi qui: Univ. Federico II | ||
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