Equivariant Ulrich bundles on exceptional homogeneous varieties

Kyoung Seog Lee, Kyeong Dong Park

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that the only rational homogeneous varieties with Picard number 1 of the exceptional algebraic groups admitting irreducible equivariant Ulrich vector bundles are the Cayley plane E6/P1 and the E7-adjoint variety E7/P1. From this result,we see that a general hyperplane section F4/P4 of the Cayley plane also has an equivariant but non-irreducible Ulrich bundle.

Original languageEnglish (US)
Pages (from-to)187-205
Number of pages19
JournalAdvances in Geometry
Volume21
Issue number2
DOIs
StatePublished - Apr 1 2021
Externally publishedYes

Keywords

  • Borel-Weil-Bott theorem
  • Cayley plane
  • Equivariant Ulrich bundles
  • exceptional homogeneous varieties

ASJC Scopus subject areas

  • Geometry and Topology

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