Montserrat Vite

collaborators

3 papers

math.AG2026

Explicit birational geometry of determinantal quartic 3-folds

Manuel Leal, CÃ©sar Lozano Huerta, Montserrat Vite

A general linear determinantal quartic in $P^{4}$ is nodal, non- $Q$ -factorial and rational. We show that the family $F$ of such quartics also contains rat…

math.AG2024

The Noether-Lefschetz locus of surfaces in $P^{3}$ formed by determinantal surfaces

Manuel Leal, CÃ©sar Lozano Huerta, Montserrat Vite

We compute the dimension of certain components of the family of smooth determinantal degree $d$ surfaces in $P^{3}$ , and show that each of them is the closure of a component…

math.AG2024

Liaison theory and the birational geometry of the Hilbert scheme of curves in $P^{3}$

Montserrat Vite

In the Hilbert scheme of curves of degree $d_{r} = \frac{r ( r + 1 )}{2}$ and arithmetic genus $g_{r} = \frac{r ( r + 1 ) ( 2 r - 5 )}{6} + 1$ in $P^{3}$ we prove that there exists a unique com…

Explicit birational geometry of determinantal quartic 3-folds

The Noether-Lefschetz locus of surfaces in P3 formed by determinantal surfaces

Liaison theory and the birational geometry of the Hilbert scheme of curves in P3

The Noether-Lefschetz locus of surfaces in $P^{3}$ formed by determinantal surfaces

Liaison theory and the birational geometry of the Hilbert scheme of curves in $P^{3}$