Moduli spaces of Ulrich bundles on the Fano 3-fold V5

Kyoung Seog Lee, Kyeong Dong Park

Research output: Contribution to journalArticlepeer-review

Abstract

We study moduli spaces of Ulrich bundles of rank r≥2 on the Fano 3-fold V5 of Picard number 1, degree 5 and index 2. We prove that the moduli space of stable Ulrich bundles of rank r on V5 can be identified with a smooth (r2+1)-dimensional open subset of the moduli space of stable quiver representations with dimension vector (r,r) of the Kronecker quiver with 2 vertices and 3 arrows.

Original languageEnglish (US)
Pages (from-to)262-277
Number of pages16
JournalJournal of Algebra
Volume574
DOIs
StatePublished - May 15 2021
Externally publishedYes

Keywords

  • Derived category
  • Fano threefold V
  • Moduli space
  • Quiver representation
  • Ulrich bundle

ASJC Scopus subject areas

  • Algebra and Number Theory

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