Malte Wandel
Published 2012-02-29, updated 2013-05-22Version 3
Let (X,H) be a polarized smooth projective surface satisfying H^1(X,O_X)=0 and let F be either a rank one torsion-free sheaf or a rank two {\mu}H-stable vector bundle on X. Assume that c_1(F)/=0. In this article it is shown that the rank two, respectively rank four tautological sheaf F^{[2]} associated with F on the Hilbert square X^{[2]} is {\mu}-stable with respect to a certain polarization.
Comments: 14 pages, minors corrections of typos, replaced Lemma 2.2 by Def 2.2 and Prop. 2.3, to appear in Nag. Math. J
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