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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
Abstract
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.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2014
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