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arXiv · 0705.0190

Cohomology of line bundles on compactified Jacobians

D. Arinkin
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Abstract

Let C be an integral projective curve with surficial singularities. We prove that topologically trivial line bundles on the compactified Jacobian of C are in one-to-one correspondence with line bundles on C (the autoduality conjecture), and compute the cohomology of the line bundles. We also show that the natural Fourier-Mukai functor between the derived categories of quasi-coherent sheaves on the Jacobian and on the compactified Jacobian is fully faithful.

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D. Arinkin. 2010-08-03. Cohomology of line bundles on compactified Jacobians. https://arxiv.org/abs/0705.0190

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