The effective cone of the moduli space of sheaves on the plane

By Izzet Coskun, Jack Huizenga, Matthew Woolf. 2014

70 citations recorded by the source corpus.

We compute the cone of effective divisors on any moduli space of semistable sheaves on the plane. The computation hinges on finding a good resolution of a general stable sheaf. This resolution is determined by Bridgeland stability and arises from a well-chosen Beilinson spectral sequence. The existence of a good choice of spectral sequence depends on remarkable number-theoretic properties of the slopes of exceptional bundles.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6a170752893b1843ee97f5272042fcb29427d49a

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. Xiaolei Zhao
2. Chunyi Li
3. Emanuele Macrì
4. Benjamin Schmidt

In Mathematical Physics

1. Chunyi Li
2. Xiaolei Zhao

Citations in the corpus

• Lectures on Bridgeland Stability (2016, unknown): “We need the following version of a result from [CHW17].”
• Birational models of moduli spaces of coherent sheaves on the projective plane (2016, methodology): “We include a different proof for the effective cone result in [15], as our argument on the effective cone is also closely related to the proof of the criterion on actual walls.”