Section conjecture
id:
section-conjecture-283-18267286
title:
Section conjecture
text:
In anabelian geometry, a branch of algebraic geometry, the section conjecture gives a conjectural description of the splittings of the group homomorphism π 1 → Gal , where X is a complete smooth curve of genus at least 2 over a field k that is finitely generated over Q , in terms of decomposition groups of rational points of X . The conjecture was introduced by Alexander Grothendieck (1997) in a 1983 letter to Gerd Faltings.
brand slug:
wiki
category slug:
encyclopedia
description:
A conjecture of Grothendieck
original url:
https://en.wikipedia.org/wiki/Section_conjecture
date created:
date modified:
2023-06-21T22:23:21Z
main entity:
{"identifier":"Q7444680","url":"https://www.wikidata.org/entity/Q7444680"}
image:
fields total:
13
integrity:
14