Abel Castorena

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20232026

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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,…

Stability of kernel bundles on projective bundles over curves

The classification of ACM curves on a surface in P3

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