Curves, Jacobians, and Abelian varieties : proceedings of an AMS-IMS-SIAM Joint Summer Research Workshop on the Schottky Problem / / Ron Donagi, editor

• Record Nr.: UNINA9910788641903321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1992]; ©1992
• ISBN: 0-8218-7727-5; 0-8218-5471-2
• Descrizione fisica: 1 online resource (354 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 136
• Disciplina: 516.3/52
• Soggetti: Curves, Algebraic; Jacobians
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Conference held June 21-27, 1990 at the University of Massachusetts, Amherst.
• Nota di bibliografia: Includes bibliographical references.
• 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""