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arXiv · 1001.3868

Autoduality of compactified Jacobians for curves with plane singularities

D. Arinkin
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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'.

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D. Arinkin. 2010-01-21. Autoduality of compactified Jacobians for curves with plane singularities. https://arxiv.org/abs/1001.3868

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