Geodesic
Characterizing Jacobians via trisecants of the Kummer variety
Igor Krichever1
1Department of Mathematics, Columbia University, Rm 527, MC 4434, 2990 Broadway, New York, NY 10027, United States and Landau Institute for Theoretical Physics, Kosygina str. 2, Moscow 119334, >Russia
Annals of mathematics, Tome 172 (2010) no. 1, pp. 485-516
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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 $K(X)$.

DOI : 10.4007/annals.2010.172.485

Igor Krichever  1

1 Department of Mathematics, Columbia University, Rm 527, MC 4434, 2990 Broadway, New York, NY 10027, United States and Landau Institute for Theoretical Physics, Kosygina str. 2, Moscow 119334, >Russia 
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Igor Krichever. Characterizing Jacobians via trisecants of the Kummer variety. Annals of mathematics, Tome 172 (2010) no. 1, pp. 485-516. doi: 10.4007/annals.2010.172.485

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