Birational models of moduli spaces of coherent sheaves on the projective plane

By Chunyi Li, Xiaolei Zhao. Geometry and Topology, 2016

50 citations recorded by the source corpus.

We study the birational geometry of moduli spaces of semistable sheaves on the projective plane via Bridgeland stability conditions. We show that the entire MMP of their moduli spaces can be run via wall-crossing. Via a description of the walls, we give a numerical description of their movable cones, along with its chamber decomposition corresponding to minimal models. As an application, we show that for primitive vectors, all birational models corresponding to open chambers in the movable cone are smooth and irreducible.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4531db2b225898cfe01c8fe86b6b9c224b20e33a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Benjamin Schmidt
2. Emanuele Macrì
3. Chunyi Li
4. Arend Bayer
5. P. Stellari
6. Xiaolei Zhao
7. D. Huybrechts
8. D. Piyaratne

In Mathematical Physics

1. Benjamin Schmidt
2. Emanuele Macrì
3. Chunyi Li
4. Arend Bayer
5. P. Stellari
6. D. Huybrechts
7. Yukinobu Toda

In Statistical and Nonlinear Physics

1. Benjamin Schmidt
2. Emanuele Macrì
3. Chunyi Li

Citations in the corpus

• Lectures on Bridgeland Stability (2016, background): “The projectivity was first observed in [ABCH13], while generic smoothness is proved in this generality in [LZ19].”