3 papers
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 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 Macías Tarrío
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. Macías Tarrío
Let be a ruled surface over a nonsingular curve of genus . The main goal of this paper is to construct simple prioritary vector bundles of any rank on and t…