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math.AG2024★ 1 cited
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.
math.DS2024
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…
math.AG2024
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…