Moduli of Bridgeland semistable objects on P2\mathbb{P}^2

preprint2010arXivOpen access

Abstract

We give another proof of Le Potier's result and some variants on moduli spaces of semistable sheaves on the projective plane, using the Bridgeland stability conditions. As an application we study the wall-crossing phenomena of the Hilbert schemes of points on the projective plane.

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