Some evidence for the existence of Ulrich bundles
Algebraic Geometry
2025-04-01 v2
Abstract
The question of existence of Ulrich bundles on nonsingular projective varieties is posed here in weaker terms: either to find a K-theoretic solution, or to find one in the derived category of the variety. We observe that if any motivic vector bundle is algebraic, there is always a solution in the Grothendieck group. Also, by considering the derived problem, it is noted a formal way of producing Ulrich sheaves on a surface.
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Cite
@article{arxiv.2502.18250,
title = {Some evidence for the existence of Ulrich bundles},
author = {Stefan Deaconu},
journal= {arXiv preprint arXiv:2502.18250},
year = {2025}
}
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17 pages