English

Extension groups of tautological sheaves on Hilbert schemes

Algebraic Geometry 2012-06-22 v2

Abstract

We give formulas for the extension groups between tautological sheaves and more general between tautological objects twisted by a determinant line bundle on the Hilbert scheme of points on a smooth quasi-projective surface. We do this using L. Scala's results about the image of tautological sheaves under the Bridgeland-King-Reid equivalence. We also compute the Yoneda products in terms of these formulas.

Keywords

Cite

@article{arxiv.1111.4263,
  title  = {Extension groups of tautological sheaves on Hilbert schemes},
  author = {Andreas Krug},
  journal= {arXiv preprint arXiv:1111.4263},
  year   = {2012}
}

Comments

Revised version