arXiv subjects

Irene Macías Tarrío

Publications and source records attributed to Irene Macías Tarrío.

3 recordsLinked to original sources

arXiv2026

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds

We study moduli spaces of modular vector bundles on projective irreducible holomorphic symplectic manifolds of $K3^{[n]}$-type. Under suitable numerical assumptions, we exhibit connected components of these moduli spaces which are again irreducible holomorphic symplectic manifolds of $K3^{[n]}$-type. Moreover, the corresponding universal families induce derived equivalences with the original manifolds. This produces smooth components of moduli spaces of modular vector bundles on irreducible holomorphic symplectic manifolds of any even dimension.

math.AG↗

arXiv2025

Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems

In this paper, we redefine the theory of walls and chambers due to Qin developing a new tool to study moduli spaces of stable rank 2 vector bundles on algebraic varieties of higher dimension. We apply it to describe components of some moduli spaces of rank 2 stable bundles on ruled 3-folds as well as to prove that some Brill-Noether loci are non-empty.

math.AG↗

arXiv2025

Brill-Noether loci on an Enriques surface covered by a Jacobian Kummer surface

The aim of this note is to exhibit proper first Brill-Noether loci inside the moduli spaces $M_{Y,H}(2;c_1,c_2)$ of $H$-stable rank $2$ vector bundles with fixed Chern classes of a certain type on an Enriques surface $Y$ which is covered by a Jacobian Kummer surface $X$.

math.AG↗