Fay's trisecant identity
id:
fay-s-trisecant-identity-227-1382202
title:
Fay's trisecant identity
text:
In algebraic geometry, Fay's trisecant identity is an identity between theta functions of Riemann surfaces introduced by Fay (1973, chapter 3, page 34, formula 45). Fay's identity holds for theta functions of Jacobians of curves, but not for theta functions of general abelian varieties. The name "trisecant identity" refers to the geometric interpretation given by Mumford, who used it to show that the Kummer variety of a genus g Riemann surface, given by the image of the map from the Jacobian to
brand slug:
wiki
category slug:
encyclopedia
description:
An identity between theta functions of Riemann surfaces
original url:
https://en.wikipedia.org/wiki/Fay%27s_trisecant_identity
date created:
2012-02-09T20:31:48Z
date modified:
2024-09-14T21:08:43Z
main entity:
{"identifier":"Q5438875","url":"https://www.wikidata.org/entity/Q5438875"}
image:
fields total:
13
integrity:
15