L. Costa

collaborators

4 papers

math.AG2026

Some moduli spaces of $I^\pm$ -stable coherent systems on algebraic surfaces

L. Costa, I. MacÃas TarrÃo, L. Roa-LeguizamÃ³n

Let $X$ be a smooth, irreducible, projective algebraic surface, and let $I^\pm \in Q [m]_{> 0}$ be a polynomial. In this paper, we determine topological and geometric properties…

math.AG2026

Hierarchical Locally Recoverable Codes on surfaces

Carolina Araujo, Luana Costa, Beth Malmskog +4

We construct locally recoverable codes with hierarchy from surfaces in $A^{3}$ admitting a fibration by curves of Artin-Schreier or Kummer type. We derive the parameters of…

math.AG2025

Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems

Laura Costa, Irene MacÃas TarrÃo

In this paper, we redefine the theory of walls and chambers due to Qin developing a new tool to study moduli spaces of stable rank 2 vector bundles on algebraic varieties of higher…

math.AG2025

Higher rank prioritary bundles on ruled surfaces and their global sections

L. Costa, I. MacÃas TarrÃo

Let $X$ be a ruled surface over a nonsingular curve $C$ of genus $g \geq 0$ . The main goal of this paper is to construct simple prioritary vector bundles of any rank $r$ on $X$ and t…

Some moduli spaces of I^±-stable coherent systems on algebraic surfaces

Hierarchical Locally Recoverable Codes on surfaces

Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems

Higher rank prioritary bundles on ruled surfaces and their global sections

Some moduli spaces of $I^\pm$ -stable coherent systems on algebraic surfaces