Components of the Stack of Torsion-Free Sheaves of Rank 2 on Ruled Surfaces

Details Components of the Stack of Torsion-Free Sheaves of Rank 2 on Ruled Surfaces Components of the Stack of Torsion-Free Sheaves of Rank 2 on Ruled Surfaces

1993-12-20

arxiv.org/abs/alg-geom/9312011v1

Math. Ann. 301 (1995), 699-715

Mathematics

Algebraic Geometry

16 pages, LATeX 2.09

Scientific paper

Let S be a ruled surface without sections of negative self-intersection. We classify the irreducible components of the moduli stack of torsion-free sheaves of rank 2 sheaves on S. We also classify the irreducible components of the Brill-Noether loci in Hilb^N(P1xP1) given by W_N^0(D)={[X] | h^1(I_X(D)) >= 1 } for D an effective divisor class. Our methods are also applicable to P2 giving new proofs of theorems of Stromme (slightly extended) and Coppo.

Affiliated with

Also associated with

No associations

Rating

Components of the Stack of Torsion-Free Sheaves of Rank 2 on Ruled Surfaces 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 Components of the Stack of Torsion-Free Sheaves of Rank 2 on Ruled Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Components of the Stack of Torsion-Free Sheaves of Rank 2 on Ruled Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-148201