Higher Extensions of Abelian Varieties

22 January 1968

journal article
research article
Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal

Vol. 31, 81-88
https://doi.org/10.1017/s0027763000012666

Abstract

In this paper we prove:THEOREM: Let k be an algebraically closed field of characteristic p > 0, and let X and Y be abelian varieties over k. Then the group Ext²(X, Y) = 0.

Keywords

ABELIAN VARIETIES
THEOREM
EXTENSIONS OF ABELIAN
HIGHER EXTENSIONS
ALGEBRAICALLY CLOSED
GROUP EXT2

This publication has 2 references indexed in Scilit:

Groupes proalgébriques
Publications mathématiques de l'IHÉS, 1960
Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 1941