Ulrich trichotomy on del Pezzo surfaces

COŞKUN E., Genc O.

ADVANCES IN GEOMETRY, vol.23, no.1, pp.51-68, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1515/advgeom-2022-0024
  • Journal Name: ADVANCES IN GEOMETRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.51-68
  • Keywords: Algebraic geometry, quiver representation., Ulrich bundle, vector bundle
  • Middle East Technical University Affiliated: Yes

Abstract

We use a correspondence between Ulrich bundles on a projective variety and quiver representations to prove that certain del Pezzo surfaces satisfy the Ulrich trichotomy, for any given polarization.