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

Chunyi Li, Xiaolei Zhao

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish
Pages (from-to)347-426
JournalGeometry and Topology
Volume23
Issue number1
DOIs
Publication statusPublished - 5 Mar 2019

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