Geodesic
Characterizing Jacobians via trisecants of the Kummer variety
Igor Krichever1
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
Annals of mathematics, Tome 172 (2010) no. 1, pp. 485-516.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.485/

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