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Algebraic geometry III : complex algebraic varieties, algebraic curves and their Jacobians / A. N. Parshin, I. R. Shafarevich, eds.
| Algebraic geometry III : complex algebraic varieties, algebraic curves and their Jacobians / A. N. Parshin, I. R. Shafarevich, eds. |
| Autore | Parshin, A. N. |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c1998 |
| Descrizione fisica | 270 p. : ill. ; 25 cm. |
| Disciplina | 512.33 |
| Altri autori (Persone) | Shafarevich, Igor Rostislavovich |
| Collana | Encyclopaedia of mathematical sciences, 0938-0396 ; 36 |
| Soggetto topico |
Algebraic curves
Algebraic geometry Algebraic varieties Hodge theory Jacobians |
| ISBN | 3540546812 |
| Classificazione |
AMS 00A20
AMS 14-02 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000659459707536 |
Parshin, A. N.
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| Berlin : Springer-Verlag, c1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Curves, Jacobians, and Abelian varieties : proceedings of an AMS-IMS-SIAM Joint Summer Research Workshop on the Schottky Problem / / Ron Donagi, editor
| Curves, Jacobians, and Abelian varieties : proceedings of an AMS-IMS-SIAM Joint Summer Research Workshop on the Schottky Problem / / Ron Donagi, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1992] |
| Descrizione fisica | 1 online resource (354 p.) |
| Disciplina | 516.3/52 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Curves, Algebraic
Jacobians |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7727-5
0-8218-5471-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Theta vanishings for some smooth Abelian coverings of Riemann surfaces""; ""The period matrix of Macbeath's curve of genus seven""; ""The continued fraction parameter in the deformation theory of classical Schottky groups""; ""The fibers of the Prym map""; ""Introduction""; ""Â1. Pryms""; ""Â1.1 Pryms and parity""; ""Â1.2 Bilinear and quadratic forms""; ""Â1.3 The Prym maps""; ""Â2. Polygonal constructions""; ""Â2.1 The n-gonal constructions""; ""Â2.2 Orientation""; ""Â2.3 The bigonal construction""; ""Â2.4 The trigonal construction""
""Â2.5 The tetragonal construction""""Â3. Biellpitic Pryms""; ""Â4. Fibers of P : R6 â?? A5""; ""Â4.1 The structure""; ""Â4.2 Special fibers""; ""Â5. Fibers of P : Rs â?? A4""; ""Â5.1 The general fiber""; ""Â5.2 Isotropic subgroups""; ""Â5.3 Proofs""; ""Â5.4 Special fibers""; ""Â6. Other genera""; ""Some Riemann surfaces whose Jacobians have strange product structures""; ""The Schottky relation in genus 4""; ""The trisecant formula and hyperelliptic surfaces""; ""The non-abelian Szego kernel and theta-divisor""; ""Theta functions on the boundary of moduli space"" ""9. Tangent bundle theorem for the family of conics on the Fano threefold X= X10""""References""; ""Some uses of analytic torsion in the study of Weierstrass points""; ""A problem of Narasimhan""; ""On the reduction of Abelian integrals and a problem of H. Hopf""; ""Normalization of the Krichever data""; ""Splittable Jacobi varieties""; ""Theta divisors for vector bundles"" |
| Record Nr. | UNINA-9910480652603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1992] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Curves, Jacobians, and Abelian varieties : proceedings of an AMS-IMS-SIAM Joint Summer Research Workshop on the Schottky Problem / / Ron Donagi, editor
| Curves, Jacobians, and Abelian varieties : proceedings of an AMS-IMS-SIAM Joint Summer Research Workshop on the Schottky Problem / / Ron Donagi, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1992] |
| Descrizione fisica | 1 online resource (354 p.) |
| Disciplina | 516.3/52 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Curves, Algebraic
Jacobians |
| ISBN |
0-8218-7727-5
0-8218-5471-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Theta vanishings for some smooth Abelian coverings of Riemann surfaces""; ""The period matrix of Macbeath's curve of genus seven""; ""The continued fraction parameter in the deformation theory of classical Schottky groups""; ""The fibers of the Prym map""; ""Introduction""; ""Â1. Pryms""; ""Â1.1 Pryms and parity""; ""Â1.2 Bilinear and quadratic forms""; ""Â1.3 The Prym maps""; ""Â2. Polygonal constructions""; ""Â2.1 The n-gonal constructions""; ""Â2.2 Orientation""; ""Â2.3 The bigonal construction""; ""Â2.4 The trigonal construction""
""Â2.5 The tetragonal construction""""Â3. Biellpitic Pryms""; ""Â4. Fibers of P : R6 â?? A5""; ""Â4.1 The structure""; ""Â4.2 Special fibers""; ""Â5. Fibers of P : Rs â?? A4""; ""Â5.1 The general fiber""; ""Â5.2 Isotropic subgroups""; ""Â5.3 Proofs""; ""Â5.4 Special fibers""; ""Â6. Other genera""; ""Some Riemann surfaces whose Jacobians have strange product structures""; ""The Schottky relation in genus 4""; ""The trisecant formula and hyperelliptic surfaces""; ""The non-abelian Szego kernel and theta-divisor""; ""Theta functions on the boundary of moduli space"" ""9. Tangent bundle theorem for the family of conics on the Fano threefold X= X10""""References""; ""Some uses of analytic torsion in the study of Weierstrass points""; ""A problem of Narasimhan""; ""On the reduction of Abelian integrals and a problem of H. Hopf""; ""Normalization of the Krichever data""; ""Splittable Jacobi varieties""; ""Theta divisors for vector bundles"" |
| Record Nr. | UNINA-9910788641903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1992] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Curves, Jacobians, and Abelian varieties : proceedings of an AMS-IMS-SIAM Joint Summer Research Workshop on the Schottky Problem / / Ron Donagi, editor
| Curves, Jacobians, and Abelian varieties : proceedings of an AMS-IMS-SIAM Joint Summer Research Workshop on the Schottky Problem / / Ron Donagi, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1992] |
| Descrizione fisica | 1 online resource (354 p.) |
| Disciplina | 516.3/52 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Curves, Algebraic
Jacobians |
| ISBN |
0-8218-7727-5
0-8218-5471-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Theta vanishings for some smooth Abelian coverings of Riemann surfaces""; ""The period matrix of Macbeath's curve of genus seven""; ""The continued fraction parameter in the deformation theory of classical Schottky groups""; ""The fibers of the Prym map""; ""Introduction""; ""Â1. Pryms""; ""Â1.1 Pryms and parity""; ""Â1.2 Bilinear and quadratic forms""; ""Â1.3 The Prym maps""; ""Â2. Polygonal constructions""; ""Â2.1 The n-gonal constructions""; ""Â2.2 Orientation""; ""Â2.3 The bigonal construction""; ""Â2.4 The trigonal construction""
""Â2.5 The tetragonal construction""""Â3. Biellpitic Pryms""; ""Â4. Fibers of P : R6 â?? A5""; ""Â4.1 The structure""; ""Â4.2 Special fibers""; ""Â5. Fibers of P : Rs â?? A4""; ""Â5.1 The general fiber""; ""Â5.2 Isotropic subgroups""; ""Â5.3 Proofs""; ""Â5.4 Special fibers""; ""Â6. Other genera""; ""Some Riemann surfaces whose Jacobians have strange product structures""; ""The Schottky relation in genus 4""; ""The trisecant formula and hyperelliptic surfaces""; ""The non-abelian Szego kernel and theta-divisor""; ""Theta functions on the boundary of moduli space"" ""9. Tangent bundle theorem for the family of conics on the Fano threefold X= X10""""References""; ""Some uses of analytic torsion in the study of Weierstrass points""; ""A problem of Narasimhan""; ""On the reduction of Abelian integrals and a problem of H. Hopf""; ""Normalization of the Krichever data""; ""Splittable Jacobi varieties""; ""Theta divisors for vector bundles"" |
| Record Nr. | UNINA-9910818818003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1992] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others]
| Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others] |
| Autore | Berger Lisa <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (144 pages) |
| Disciplina | 516.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves, Algebraic
Legendre's functions Rational points (Geometry) Birch-Swinnerton-Dyer conjecture Jacobians Abelian varieties Finite fields (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-6253-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480428303321 |
|
Berger Lisa <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others]
| Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others] |
| Autore | Berger Lisa <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (144 pages) |
| Disciplina | 516.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves, Algebraic
Legendre's functions Rational points (Geometry) Birch-Swinnerton-Dyer conjecture Jacobians Abelian varieties Finite fields (Algebra) |
| ISBN | 1-4704-6253-2 |
| Classificazione | 11G1011G3011G4014G0514G2514K15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The curve, explicit divisors, and relations -- Descent calculations -- Minimal regular model, local invariants, and domination by a product of curves -- Heights and the visible subgroup -- The L-function and the BSD conjecture -- Analysis of J[p] and NS(Xd)tor -- Index of the visible subgroup and the Tate-Shafarevich group -- Monodromy of ℓ-torsion and decomposition of the Jacobian. |
| Record Nr. | UNINA-9910794334103321 |
|
Berger Lisa <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others]
| Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields / / Lisa Berger [and seven others] |
| Autore | Berger Lisa <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (144 pages) |
| Disciplina | 516.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves, Algebraic
Legendre's functions Rational points (Geometry) Birch-Swinnerton-Dyer conjecture Jacobians Abelian varieties Finite fields (Algebra) |
| ISBN | 1-4704-6253-2 |
| Classificazione | 11G1011G3011G4014G0514G2514K15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The curve, explicit divisors, and relations -- Descent calculations -- Minimal regular model, local invariants, and domination by a product of curves -- Heights and the visible subgroup -- The L-function and the BSD conjecture -- Analysis of J[p] and NS(Xd)tor -- Index of the visible subgroup and the Tate-Shafarevich group -- Monodromy of ℓ-torsion and decomposition of the Jacobian. |
| Record Nr. | UNINA-9910813546003321 |
|
Berger Lisa <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Neumann systems for the algebraic AKNS problem / / Randolph J. Schilling
| Neumann systems for the algebraic AKNS problem / / Randolph J. Schilling |
| Autore | Schilling Randolph J (Randolph James), <1951-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems
Evolution equations Jacobians |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0893-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""Chapter I. The Geometry of Neumann Systems""; ""Chapter II. A Neumann System for the AKNS Problem""; ""Chapter III. The Divisor Map""; ""Chapter IV. Hamiltonian Formalism""; ""Appendix: The Neumann System""; ""Bibliography"" |
| Record Nr. | UNINA-9910480697703321 |
|
Schilling Randolph J (Randolph James), <1951->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Neumann systems for the algebraic AKNS problem / / Randolph J. Schilling
| Neumann systems for the algebraic AKNS problem / / Randolph J. Schilling |
| Autore | Schilling Randolph J (Randolph James), <1951-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems
Evolution equations Jacobians |
| ISBN | 1-4704-0893-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""Chapter I. The Geometry of Neumann Systems""; ""Chapter II. A Neumann System for the AKNS Problem""; ""Chapter III. The Divisor Map""; ""Chapter IV. Hamiltonian Formalism""; ""Appendix: The Neumann System""; ""Bibliography"" |
| Record Nr. | UNINA-9910788877503321 |
|
Schilling Randolph J (Randolph James), <1951->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Neumann systems for the algebraic AKNS problem / / Randolph J. Schilling
| Neumann systems for the algebraic AKNS problem / / Randolph J. Schilling |
| Autore | Schilling Randolph J (Randolph James), <1951-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems
Evolution equations Jacobians |
| ISBN | 1-4704-0893-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""Chapter I. The Geometry of Neumann Systems""; ""Chapter II. A Neumann System for the AKNS Problem""; ""Chapter III. The Divisor Map""; ""Chapter IV. Hamiltonian Formalism""; ""Appendix: The Neumann System""; ""Bibliography"" |
| Record Nr. | UNINA-9910818931403321 |
|
Schilling Randolph J (Randolph James), <1951->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
