Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On defining equations for the Jacobian locus in genus five
HTML articles powered by AMS MathViewer

by Robert D. M. Accola
Proc. Amer. Math. Soc. 89 (1983), 445-448
DOI: https://doi.org/10.1090/S0002-9939-1983-0715863-X
PDF | Request permission

Abstract:

In the space of principally polarized abelian varieties of dimension 5, eight special theta relations can be chosen to define eight hypersurfaces whose intersection contains the Jacobian locus as a component.
References
    Robert D. M. Accola, Some loci in Teichmüller space for genus six defined by vanishing thetanulls (submitted for publication). A. Krazer, Lehrbuch der Thetafunktionen, Teubner, Leipzig, 1903 (Chelsea reprint). D. Mumford, Tata lectures on theta, II, Birkhäuser, Boston, Mass. (to appear).
  • M. Noether, Zur Theorie der Thetafunctionen von beliebig vielen Argumenten, Math. Ann. 16 (1880), no. 2, 270–344 (German). MR 1510028, DOI 10.1007/BF01446392
  • Harry E. Rauch and Hershel M. Farkas, Theta functions with applications to Riemann surfaces, Williams & Wilkins Co., Baltimore, Md., 1974. MR 0352108
Similar Articles
Bibliographic Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 89 (1983), 445-448
  • MSC: Primary 14H40; Secondary 14K10, 14K25, 32G20
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0715863-X
  • MathSciNet review: 715863