Montserrat Vite

collaborators

3 papers

math.AG2026

Curves contained in a quartic determinantal surface containing a line

Abel Castorena, Montserrat Vite

Let $X \subseteq P^{3}$ be a very general element of the Noether-Lefschetz divisor that parametrizing smooth quartic surfaces containing a line. Let $L \subseteq X$ denote t…

math.AG2026

The classification of ACM curves on a surface in $P^{3}$

Abel Castorena, Montserrat Vite

We classify ACM curves contained in a surface of degree d in $P^{3}$ in terms of weak admissible pairs. In the case of a very general smooth determinantal quartic surface,…

math.AG2025

Extremal divisors in the Hilbert scheme of points on $P^{2}$ are preserved under residuality

Montserrat Vite

Let $n = \frac{r ( r + 1 )}{2}$ or $n = r (r + 1)$ . We prove that the property of being extremal is preserved under residuality on the Hilbert scheme of $n$ points in the plane.

Curves contained in a quartic determinantal surface containing a line

The classification of ACM curves on a surface in P3

Extremal divisors in the Hilbert scheme of points on P2 are preserved under residuality

The classification of ACM curves on a surface in $P^{3}$

Extremal divisors in the Hilbert scheme of points on $P^{2}$ are preserved under residuality