Ulrich ranks of Veronese varieties and equivariant instantons
Commutative Algebra
2025-11-19 v2 Algebraic Geometry
Abstract
We construct Ulrich bundles on Veronese threefolds of arbitrary degree as generic deformations of symmetric squares of equivariant instanton bundles on the projective space, thus classifying the rank of Ulrich bundles on such varieties and proving a conjecture of Costa and Mir{\'o}-Roig.
Keywords
Cite
@article{arxiv.2405.12574,
title = {Ulrich ranks of Veronese varieties and equivariant instantons},
author = {Daniele Faenzi and Victor Do Valle Pretti},
journal= {arXiv preprint arXiv:2405.12574},
year = {2025}
}