03354nam 2200577 450 991078864190332120180613001235.00-8218-7727-50-8218-5471-2(CKB)3240000000069665(EBL)3113080(SSID)ssj0000629289(PQKBManifestationID)11377374(PQKBTitleCode)TC0000629289(PQKBWorkID)10730518(PQKB)10394734(MiAaPQ)EBC3113080(RPAM)3449834(PPN)197104614(EXLCZ)99324000000006966519920609h19921992 uy| 0engur|n|---|||||txtccrCurves, Jacobians, and Abelian varieties proceedings of an AMS-IMS-SIAM Joint Summer Research Workshop on the Schottky Problem /Ron Donagi, editorProvidence, Rhode Island :American Mathematical Society,[1992]©19921 online resource (354 p.)Contemporary mathematics,0271-4132 ;136Conference held June 21-27, 1990 at the University of Massachusetts, Amherst.0-8218-5143-8 Includes bibliographical references.""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""Contemporary mathematics (American Mathematical Society) ;136.Curves, AlgebraicCongressesJacobiansCongressesCurves, AlgebraicJacobians516.3/52Donagi RonMiAaPQMiAaPQMiAaPQBOOK9910788641903321Curves Jacobians, and Abelian varieties376282UNINA