Cohomology of line bundles on compactified Jacobians - Mathematics > Algebraic GeometryReportar como inadecuado




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Abstract: Let C be an integral projective curve with surficial singularities. We provethat topologically trivial line bundles on the compactified Jacobian of C arein one-to-one correspondence with line bundles on C (the autodualityconjecture), and compute the cohomology of the line bundles. We also show thatthe natural Fourier-Mukai functor between the derived categories ofquasi-coherent sheaves on the Jacobian and on the compactified Jacobian isfully faithful.



Autor: D. Arinkin

Fuente: https://arxiv.org/







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