1968Nagoya Mathematical JournalOpen access

Higher Extensions of Abelian Varieties

Frans J. Oort, Tadao Oda

Open full text 5 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Mathematics, Abelian group, Algebraically closed field, Pure mathematics, Arithmetic of abelian varieties, Elementary abelian group, Field (mathematics), Abelian variety

Related papers

Back to paper searchBrowse research topicsOriginal source
Higher Extensions of Abelian Varieties — Research Paper | ScholarLens