Torelli theorem
id:
torelli-theorem-241-7952726
title:
Torelli theorem
text:
In mathematics, the Torelli theorem, named after Ruggiero Torelli, is a classical result of algebraic geometry over the complex number field, stating that a non-singular projective algebraic curve (compact Riemann surface) C is determined by its Jacobian variety J(C), when the latter is given in the form of a principally polarized abelian variety. In other words, the complex torus J(C), with certain 'markings', is enough to recover C. The same statement holds over any algebraically closed field.
brand slug:
wiki
category slug:
encyclopedia
description:
Describes when a compact Riemann surface is determined by its Jacobian variety
original url:
https://en.wikipedia.org/wiki/Torelli_theorem
date created:
date modified:
2023-05-21T05:00:19Z
main entity:
{"identifier":"Q7825663","url":"https://www.wikidata.org/entity/Q7825663"}
image:
fields total:
13
integrity:
14