Autoduality holds for a degenerating abelian variety
Algebraic Geometry
2017-08-01 v2
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 N\'eron 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.
Keywords
Cite
@article{arxiv.1507.07963,
title = {Autoduality holds for a degenerating abelian variety},
author = {Jesse Leo Kass},
journal= {arXiv preprint arXiv:1507.07963},
year = {2017}
}
Comments
To appear in Research in Mathematical Sciences. Material reorganized and typos corrected