1 citations · 1 across the 6 of their papers we have counts for
7 papers
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…
Some moduli spaces of -stable coherent systems on algebraic surfaces
L. Costa, I. Macías Tarrío, L. Roa-Leguizamón
Let be a smooth, irreducible, projective algebraic surface, and let be a polynomial. In this paper, we determine topological and geometric properties…
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…
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…
Clifford's Theorem for Coherent Systems on surfaces
L. Costa, I. Macías Tarrío, L. Roa-Leguizamón
Let X be a smooth irreducible projective surface. The aim of this paper is to establish a version of Clifford's theorem for coherent systems on X.
A family of maps and a vector field on plane polygons
Maxim Arnold, Lael Costa, Serge Tabachnikov
We study, theoretically and experimentally, a 1-parameter family of transformations and their limiting vector field on the space of plane polygons. These transformations are discre…
Brill-Noether Theory of stable vector bundles on ruled surfaces
L. Costa, I. Macías Tarrío
Let X be a ruled surface over a nonsingular curve C of genus . Let be the moduli space of H-stable rank 2 vector bundles E on X with fixed Chern c…