Abel Castorena

collaborators

4 papers

math.AG2026

Stability of kernel bundles on projective bundles over curves

Abel Castorena, George H. Hitching

Let $X$ be a projective bundle over a smooth curve $C$ of genus $g \geq 3$ , and consider the relative hyperplane bundle $O_{X} (1) \to X$ . Let $V \subseteq H^0 ( X , {\math…

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

Geometry of linearly stable coherent systems over curves

Abel Castorena, George H. Hitching

Let $E$ be a vector bundle over a smooth curve $C$ , and $V$ a generating space of sections of $E$ . We characterise Mumford linear stability of the associated projective model of $\…

math.AG2025

On Î±-stability and linear stability of generated coherent systems

Abel Castorena, George H. Hitching

There is a well studied notion of GIT-stability for coherent systems over curves, which depends on a real parameter $I^\pm$ . For generated coherent systems, there is a further notion…

Stability of kernel bundles on projective bundles over curves

The classification of ACM curves on a surface in P3

Geometry of linearly stable coherent systems over curves

On Î±-stability and linear stability of generated coherent systems

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