Autoduality of compactified Jacobians for curves with plane singularities

By D. Arinkin. 2010

68 citations recorded by the source corpus.

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'.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/91cd62d865b2203fb54f66cf697f8dd5b1e7255b

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In Geometry and Topology

1. Tamás Hausel
2. O. Schiffmann
3. Sam Payne

In Statistical and Nonlinear Physics

1. Tamás Hausel
2. O. Schiffmann

Citations in the corpus

• Global topology of the Hitchin system (2011, background): “By recent work of Arinkin [Ari] it is expected that there is a geometrical fibrewise Fourier-Mukai transform at least for integral spectral curves.”