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

2012/11/07 by Andreas Krug, Krug, Andreas
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.1211.1640

openalex publication_date 2012/11/07 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We give a description of the image of tensor products of tautological bundles\non Hilbert schemes of points on surfaces under the Bridgeland-King-Reid-Haiman\nequivalence. Using this, some new formulas for cohomological invariants of\nthese bundles are obtained. In particular, we give formulas for the Euler\ncharacteristic of arbitrary tensor products on the Hilbert scheme of two points\nand of triple tensor products in general.\n

Citations

• Algebraic Families on an Algebraic Surface
• Extension groups of tautological sheaves on Hilbert schemes

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