Some rational subvarieties of moduli spaces of stable vector bundles

Sonia Brivio; Federico Fallucca; Filippo F. Favale

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arXiv · 2602.16510

Some rational subvarieties of moduli spaces of stable vector bundles

Sonia Brivio·Federico Fallucca·Filippo F. Favale

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Abstract

Let X be a smooth complex irreducible projective variety of dimension $n \geq 2$ and $H$ be an ample line bundle on $X$. In this paper, we construct families of $\mu_H$-stable vector bundles on $X$ having fixed determinant and rank $r$, which are generated by $r+1$ global sections, parametrized by Grassmanian varieties. This gives into the corresponding moduli spaces special subvarieties birational to Grassmannian.

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Sonia Brivio, Federico Fallucca, Filippo F. Favale. 2026-02-18. Some rational subvarieties of moduli spaces of stable vector bundles. https://arxiv.org/abs/2602.16510

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