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Article

Characterizing Jacobians via trisecants of the Kummer variety

Annals of Mathematics. 2010. Vol. 172. No. 1. P. 485-516.

We prove Welters’ 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).