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Curves, Jacobians, and Abelian Varieties
 
Edited by: Ron Donagi
Curves, Jacobians, and Abelian Varieties
Softcover ISBN:  978-0-8218-5143-2
Product Code:  CONM/136
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7727-2
Product Code:  CONM/136.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5143-2
eBook: ISBN:  978-0-8218-7727-2
Product Code:  CONM/136.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Curves, Jacobians, and Abelian Varieties
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Curves, Jacobians, and Abelian Varieties
Edited by: Ron Donagi
Softcover ISBN:  978-0-8218-5143-2
Product Code:  CONM/136
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7727-2
Product Code:  CONM/136.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5143-2
eBook ISBN:  978-0-8218-7727-2
Product Code:  CONM/136.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1361992; 342 pp
    MSC: 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.

    Readership

    Researchers 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 theta-divisor [ 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 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1361992; 342 pp
MSC: 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.

Readership

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 theta-divisor [ 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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.