L. Costa

activity

20242026

most citedClifford's Theorem for Coherent Systems on surfaces

1 citations · 1 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.AG2025

Some moduli spaces of $α$ -stable coherent systems on algebraic surfaces

L. Costa, I. Macías Tarrío, L. Roa-Leguizamón

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

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 $X$ 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 α-stable coherent systems on algebraic 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 $α$ -stable coherent systems on algebraic surfaces