Characterizing Jacobians via trisecants of the Kummer Variety

Mathematics – Algebraic Geometry

Scientific paper

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Typos corrected. The version accepted for publication in Advances in Mathematics

Scientific paper

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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