Higher Extensions of Abelian Varieties
Frans J. Oort, Tadao Oda
Abstract
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Frans J. Oort, Tadao Oda
Abstract
Open-access reader
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.
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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