Stability of tautological vector bundles on Hilbert squares of surfaces

2009/09/10 by Ulrich Schlickewei, Schlickewei, Ulrich · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0909.1888

openalex publication_date 2009/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove stability of rank two tautological bundles on the Hilbert square of a surface (under a mild positivity condition) and compute their Chern classes.

Citations

• Algebraic Families on an Algebraic Surface

Cited by

• Moduli spaces of generalised tautological bundles on Hilbert schemes

Related

• Moduli spaces of generalised tautological bundles on Hilbert schemes
• Tautological Integrals on Hilbert Schemes of Points on Curves
• Sur la cohomologie de la puissance symetrique du fibre tautologique sur le schema de Hilbert ponctuel d'une surface
• Higher rank Segre integrals over the Hilbert scheme of points
• Sur la cohomologie d'un fibre tautologique sur le schema de Hilbert\n d'une surface