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Characterizing Jacobians via trisecants of the Kummer Variety

I. Krichever

math.AGarXiv:math/0605625

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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