Characterizing Jacobians via trisecants of the Kummer Variety
Algebraic Geometry
2008-03-25 v4 High Energy Physics - Theory
Abstract
We prove Welter's trisecant conjecture: an indecomposable principally polarized abelian variety is the Jacobian of a curve if and only if there exists a trisecant of its Kummer variety .
Keywords
Cite
@article{arxiv.math/0605625,
title = {Characterizing Jacobians via trisecants of the Kummer Variety},
author = {I. Krichever},
journal= {arXiv preprint arXiv:math/0605625},
year = {2008}
}
Comments
Typos corrected. The version accepted for publication in Advances in Mathematics