Abel Castorena

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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.AG2024

On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic curves

Abel Castorena, Frank Neumann

We study the various arithmetic and geometric Frobenius morphisms on the moduli stack of principal bundles over a smooth projective algebraic curve and determine explicitly their a…

math.AG2024

Cohomology of Moduli Stacks of Principal $C^{*}$ -Bundles Over Nodal Algebraic Curves

Abel Castorena, Frank Neumann

We study moduli stacks of principal $C^{*}$ -bundles over nodal complex algebraic curves and determine their rational cohomology algebras in terms of Chern classes.

Curves contained in a quartic determinantal surface containing a line

On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic curves

Cohomology of Moduli Stacks of Principal C∗-Bundles Over Nodal Algebraic Curves

Cohomology of Moduli Stacks of Principal $C^{*}$ -Bundles Over Nodal Algebraic Curves