The birational geometry of moduli space of sheaves on the projective plane

Aaron Bertram; Cristian Martinez; Jie Wang

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arXiv · 1301.2011

The birational geometry of moduli space of sheaves on the projective plane

Aaron Bertram·Cristian Martinez·Jie Wang

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Abstract

We describe a close relation between wall crossings in the birational geometry of moduli space of Gieseker stable sheaves $M_H(v)$ on $\bb{P}^2$ and mini-wall crossings in the stability manifold $Stab(D^b(\bb{P}^2))$.

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Aaron Bertram, Cristian Martinez, Jie Wang. 2013-01-10. The birational geometry of moduli space of sheaves on the projective plane. https://arxiv.org/abs/1301.2011

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