Contemporary Mathematics 1992; 342 pp; softcover Volume: 136 ISBN10: 0821851438 ISBN13: 9780821851432 List Price: US$79 Member Price: US$63.20 Order Code: CONM/136
 This volume contains the proceedings of an AMSIMSSIAM Joint Summer Research Conference on the Schottky Problem, held in June 1990 at the University of Massachusetts at Amherst. The conference explored various aspects of the Schottky problem of characterizing Jacobians of curves among all abelian varieties. Some of the articles study related themes, including the moduli of stable vector bundles on a curve, Prym varieties and intermediate Jacobians, and special Jacobians with exotic polarizations or product structures. Readership Researchers interested in algebraic geometry, Riemann surfaces, and theta functions. Table of Contents  R. D. M. Accola  Theta vanishings for some smooth Abelian coverings of Riemann surfaces
 K. Berry and M. Tretkoff  The period matrix of Macbeath's curve of genus seven
 R. Brooks  The continued fraction parameter in the deformation theory of classical Schottky groups
 R. Donagi  The fibers of the Prym map
 C. J. Earle  Some Riemann surfaces whose Jacobians have strange product structures
 L. Ehrenpreis  The Schottky relation in genus \(4\)
 H. M. Farkas  The trisecant formula and hyperelliptic surfaces
 J. Fay  The nonabelian Szegö kernel and thetadivisor
 G. G. Díez  Theta functions on the boundary of moduli space
 A. I. Iliev  Geometry of the fano threefold of degree 10 of the first type
 J. Jorgenson  Some uses of analytic torsion in the study of Weierstrass points
 G. R. Kempf  A problem of Narasimhan
 H. H. Martens  On the reduction of Abelian integrals and a problem of H. Hopf
 M. Mulase  Normalization of the Krichever data
 J. F. X. Ries  Splittable Jacobi varieties
 M. TeixidorIBigas and L. W. Tu  Theta divisors for vector bundles
