Cohomology of line bundles on compactified Jacobians

Details Cohomology of line bundles on compactified Jacobians Cohomology of line bundles on compactified Jacobians

2007-05-02

arxiv.org/abs/0705.0190v2

Mathematics

Algebraic Geometry

12 pages; second version with minor changes throughout the text

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Cohomology of line bundles on compactified Jacobians does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cohomology of line bundles on compactified Jacobians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology of line bundles on compactified Jacobians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-674247