Change of Polarization for Moduli of Sheaves on Surfaces as Bridgeland Wall-crossing

Aaron Bertram, Cristian Martinez

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that the "Thaddeus flips" of L-twisted sheaves constructed by Matsuki and Wentworth explaining the change of polarization for Gieseker semistable sheaves on a surface can be obtained via Bridgeland wall-crossing. Similarly, we realize the change of polarization for moduli spaces of one-dimensional Gieseker semistable sheaves on a surface by varying a family of stability conditions.

Original languageEnglish (US)
Pages (from-to)2007-2033
Number of pages27
JournalInternational Mathematics Research Notices
Volume2020
Issue number7
DOIs
StatePublished - Apr 8 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics

Fingerprint

Dive into the research topics of 'Change of Polarization for Moduli of Sheaves on Surfaces as Bridgeland Wall-crossing'. Together they form a unique fingerprint.

Cite this