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Stability of tautological bundles on the Hilbert scheme of two points on a surface

Published online by Cambridge University Press:  11 January 2016

Malte Wandel
Malte Wandel*
Affiliation:
Research Institute for Mathematical Sciences Kyoto UniversityKyoto 606-8502Japanwandel@math.uni-hannover.de
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Abstract

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Let (X, H) be a polarized smooth projective surface satisfying H1(Χ, OΧ) = 0, and let Ƒ be either a rank 1 torsion-free sheaf or a rank 2 μH-stable vector bundle on Χ. Assume that c1(Ƒ) ≠ 0. This article shows that the rank 2—respectively, rank 4—tautological sheaf Ƒ[2] associated with Ƒ on the Hilbert square Χ[2] is μ-stable with respect to a certain polarization.

Keywords

14J6014D2014J2814F05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 214 , June 2014 , pp. 79 - 94
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2014

References

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