Extension groups of tautological sheaves on Hilbert schemes

Details Extension groups of tautological sheaves on Hilbert schemes Extension groups of tautological sheaves on Hilbert schemes

2011-11-18

arxiv.org/abs/1111.4263v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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