Extension groups of tautological sheaves on Hilbert schemes

2011/11/18 by Andreas Krug, Krug, Andreas · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1111.4263

openalex publication_date 2011/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Algebraic Families on an Algebraic Surface

Cited by

• Tensor products of tautological bundles under the\n Bridgeland-King-Reid-Haiman equivalence

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