The Brill-Noether Theory of the moduli spaces of sheaves on surfaces

Izzet Coskun, Jack Huizenga, Howard Nuer

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we survey recent developments in the Brill-Noether Theory of higher rank vector bundles on complex projective surfaces. We focus on weak Brill-Noether Theorems on rational and K-trivial surfaces and their applications.

Original languageEnglish
Title of host publicationModuli Spaces and Vector Bundles-New Trends - VBAC 2022 Conference Moduli Spaces and Vector Bundles-New Trends In honor of Peter Newstead’s 80th Birthday
EditorsPeter Gothen, Margarida Melo, Montserrat Teixidor i Bigas
Pages103-151
Number of pages49
DOIs
StatePublished - 2024
EventVBAC Conference on Moduli Spaces and Vector Bundles-New Trends, 2022, held in honor of Peter Newstead's 80th birthday - Coventry, United Kingdom
Duration: 25 Jul 202229 Jul 2022

Publication series

NameContemporary Mathematics
Volume803
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceVBAC Conference on Moduli Spaces and Vector Bundles-New Trends, 2022, held in honor of Peter Newstead's 80th birthday
Country/TerritoryUnited Kingdom
CityCoventry
Period25/07/2229/07/22

Keywords

  • Bridgeland stability
  • Brill-Noether Theory
  • moduli spaces of sheaves
  • Ulrich bundles

ASJC Scopus subject areas

  • General Mathematics

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