Autoduality of compactified Jacobians for curves with plane singularities
Algebraic Geometry
2010-08-09 v2
Abstract
Let C be an integral projective curve with planar singularities. Consider its Jacobian J and the compactified Jacobian J'. We construct a flat family P of Cohen-Macaulay sheaves on J' parametrized by J'; over J, the family P is the Poincare line bundle. We prove that the Fourier-Mukai transform given by P is an auto-equivalence of the derived category of J'.
Keywords
Cite
@article{arxiv.1001.3868,
title = {Autoduality of compactified Jacobians for curves with plane singularities},
author = {D. Arinkin},
journal= {arXiv preprint arXiv:1001.3868},
year = {2010}
}
Comments
20 pages. Version 2: Minor modifications, two references added