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Bibliographic Details
Main Authors:	Brivio, Sonia, Fallucca, Federico, Favale, Filippo F.
Format:	Preprint
Published:	2026
Subjects:	Algebraic Geometry
Online Access:	https://arxiv.org/abs/2602.16510
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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 $μ_H$-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.