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

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

2008-12-08

arxiv.org/abs/0812.1470v3

Mathematics

Algebraic Geometry

41 pages, to appear in Kodai Mathematical Journal

Scientific paper

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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