Modular vector bundles on hyperk\"ahler manifolds of Debarre-Voisin type
Algebraic Geometry
2025-02-26 v1
Abstract
Let X be a very general Debarre-Voisin fourfold. In this article, we prove that all the Schur functors of the restriction of the quotient bundle of Gr(6,10) to X are modular and polystable vector bundles. We also show that such bundles are atomic if and only if correspond to the symmetric power of the restriction of the quotient bundle. Moreover, we compute the Ext-groups of different modular vector bundles on X, and we find examples with 20 and 40 dimensional first Ext-group.
Cite
@article{arxiv.2502.18360,
title = {Modular vector bundles on hyperk\"ahler manifolds of Debarre-Voisin type},
author = {Alessandro Frassineti and Federico Tufo},
journal= {arXiv preprint arXiv:2502.18360},
year = {2025}
}
Comments
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