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- W2949404487 abstract "This paper proves the following converse to a theorem of Mumford: Let $A$ be a principally polarized abelian variety of dimension five, whose theta divisor has a unique singular point, and suppose that the multiplicity of the singular point is three. Then $A$ is isomorphic as a principally polarized abelian variety to the intermediate Jacobian of a smooth cubic threefold. The method of proof is to analyze the possible singularities of the theta divisor of $A$, and eventually to show that $A$ is the Prym variety of a possibly singular plane quintic." @default.
- W2949404487 created "2019-06-27" @default.
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- W2949404487 date "2003-07-01" @default.
- W2949404487 modified "2023-10-05" @default.
- W2949404487 title "Cubic threefolds and abelian varieties of dimension five" @default.
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