Autoduality of compactified Jacobians for curves with plane singularities

Details Autoduality of compactified Jacobians for curves with plane singularities Autoduality of compactified Jacobians for curves with plane singularities

2010-01-21

arxiv.org/abs/1001.3868v2

Mathematics

Algebraic Geometry

20 pages. Version 2: Minor modifications, two references added

Scientific paper

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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