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Characterizing Jacobians via trisecants of the Kummer Variety

I. Krichever
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Abstract

We prove Welter's trisecant conjecture: an indecomposable principally polarized abelian variety $X$ is the Jacobian of a curve if and only if there exists a trisecant of its Kummer variety $K(X)$.

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I. Krichever. 2008-03-25. Characterizing Jacobians via trisecants of the Kummer Variety. https://arxiv.org/abs/math/0605625

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