Equivariant Ulrich bundles on exceptional homogeneous varieties

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 $E_6/P_1$ and the $E_7$-adjoint variety $E_7/P_1$. From this result, we see that a general hyperplane section $F_4/P_4$ of the Cayley plane also has an equivariant but non-irreducible Ulrich bundle.

18 pages

References in corpus (2)

• Moduli spaces of Ulrich bundles on the Fano 3-fold $V_5$
• $\GL(V)$-invariant Ulrich bundles on Grassmannians

Cited by in corpus (1)

• Moduli spaces of Ulrich bundles on the Fano 3-fold $V_5$