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Softcover ISBN:  9780821851432 
Product Code:  CONM/136 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
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Product Code:  CONM/136.E 
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AMS Member Price:  $100.00 
Softcover ISBN:  9780821851432 
eBook ISBN:  9780821877272 
Product Code:  CONM/136.B 
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Book DetailsContemporary MathematicsVolume: 136; 1992; 342 ppMSC: Primary 14; Secondary 32
This volume contains the proceedings of an AMS–IMS–SIAM 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.
ReadershipResearchers interested in algebraic geometry, Riemann surfaces, and theta functions.

Table of Contents

Articles

Robert D. M. Accola — Theta vanishings for some smooth abelian coverings of Riemann surfaces [ MR 1188191 ]

Kevin Berry and Marvin Tretkoff — The period matrix of Macbeath’s curve of genus seven [ MR 1188192 ]

Robert Brooks — The continued fraction parameter in the deformation theory of classical Schottky groups [ MR 1188193 ]

Ron Donagi — The fibers of the Prym map [ MR 1188194 ]

Clifford J. Earle — Some Riemann surfaces whose Jacobians have strange product structures [ MR 1188195 ]

Leon Ehrenpreis — The Schottky relation in genus $4$ [ MR 1188196 ]

Hershel M. Farkas — The trisecant formula and hyperelliptic surfaces [ MR 1188197 ]

John Fay — The nonabelian Szegő kernel and thetadivisor [ MR 1188198 ]

Gabino González Díez — Theta functions on the boundary of moduli space [ MR 1188199 ]

Atanas Iliev Iliev — Geometry of the Fano threefold of degree $10$ of the first type [ MR 1188200 ]

Jay Jorgenson — Some uses of analytic torsion in the study of Weierstrass points [ MR 1188201 ]

George R. Kempf — A problem of Narasimhan [ MR 1188202 ]

Henrik H. Martens — On the reduction of Abelian integrals and a problem of H. Hopf [ MR 1188203 ]

Motohico Mulase — Normalization of the Krichever data [ MR 1188204 ]

John F. X. Ries — Splittable Jacobi varieties [ MR 1188205 ]

Montserrat Teixidor i Bigas and Loring W. Tu — Theta divisors for vector bundles [ MR 1188206 ]


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This volume contains the proceedings of an AMS–IMS–SIAM 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.
Researchers interested in algebraic geometry, Riemann surfaces, and theta functions.

Articles

Robert D. M. Accola — Theta vanishings for some smooth abelian coverings of Riemann surfaces [ MR 1188191 ]

Kevin Berry and Marvin Tretkoff — The period matrix of Macbeath’s curve of genus seven [ MR 1188192 ]

Robert Brooks — The continued fraction parameter in the deformation theory of classical Schottky groups [ MR 1188193 ]

Ron Donagi — The fibers of the Prym map [ MR 1188194 ]

Clifford J. Earle — Some Riemann surfaces whose Jacobians have strange product structures [ MR 1188195 ]

Leon Ehrenpreis — The Schottky relation in genus $4$ [ MR 1188196 ]

Hershel M. Farkas — The trisecant formula and hyperelliptic surfaces [ MR 1188197 ]

John Fay — The nonabelian Szegő kernel and thetadivisor [ MR 1188198 ]

Gabino González Díez — Theta functions on the boundary of moduli space [ MR 1188199 ]

Atanas Iliev Iliev — Geometry of the Fano threefold of degree $10$ of the first type [ MR 1188200 ]

Jay Jorgenson — Some uses of analytic torsion in the study of Weierstrass points [ MR 1188201 ]

George R. Kempf — A problem of Narasimhan [ MR 1188202 ]

Henrik H. Martens — On the reduction of Abelian integrals and a problem of H. Hopf [ MR 1188203 ]

Motohico Mulase — Normalization of the Krichever data [ MR 1188204 ]

John F. X. Ries — Splittable Jacobi varieties [ MR 1188205 ]

Montserrat Teixidor i Bigas and Loring W. Tu — Theta divisors for vector bundles [ MR 1188206 ]