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arXiv:math/0605625 [math.AG]AbstractReferencesReviewsResources

Characterizing Jacobians via trisecants of the Kummer Variety

I. Krichever

Published 2006-05-23, updated 2008-03-25Version 4

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 $K(X)$.

Comments: Typos corrected. The version accepted for publication in Advances in Mathematics
Categories: math.AG, hep-th
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