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arXiv · 1507.07963

Autoduality holds for a degenerating abelian variety

Jesse Leo Kass
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Abstract

We prove that certain degenerate abelian varieties, the compactified Jacobian of a nodal curve and a stable quasiabelian variety, satisfy autoduality. We establish this result by proving a comparison theorem that relates the associated family of Picard schemes to the Néron model, a result of independent interest. In our proof, a key fact is that the total space of a suitable family of compactified Jacobians has rational singularities.

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Jesse Leo Kass. 2017-07-31. Autoduality holds for a degenerating abelian variety. https://arxiv.org/abs/1507.07963

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