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

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.

41 pages, to appear in Kodai Mathematical Journal

References in corpus (4)

• A functorial construction of moduli of sheaves
• Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces
• Some examples of spaces of stability conditions on derived categories
• On the geometry of the Hilbert schemes of points in the projective plane

Cited by in corpus (1)

• Vafa-Witten invariants from exceptional collections