Subvarieties of abelian varieties

Details Subvarieties of abelian varieties Subvarieties of abelian varieties

2001-03-29

arxiv.org/abs/math/0103213v1

Mathematics

Algebraic Geometry

amslatex; 8 pages; to appear in the proceedings of the NATO conference in Eilat, Israel, February 24-March 1 2001

Scientific paper

We discuss various constructions which allow one to embed a principally polarized abelian variety in the jacobian of a curve. Each of these gives representatives of multiples of the minimal cohomology class for curves which in turn produce subvarieties of higher dimension representing multiples of the minimal class. We then discuss the problem of producing curves representing multiples of the minimal class via deformation-theoretic methods.

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