L. Roa-Leguizamón

activity

20202026

most citedA note on rank two stable bundles over surfaces

3 citations · 7 across the 6 of their papers we have counts for

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math.AG2020★ 3 cited

A note on rank two stable bundles over surfaces

Graciela Reyes-Ahumada, L. Roa-Leguizamón, H. Torres-López

Let $π : X ⟶ C$ be a fibration with reduced fibers over a curve $C$ and consider a polarization $H$ on the surface $X$ . Let $E$ be a stable vector bundle of rank $2$ o…

math.AG2020★ 3 cited

On the Segre Invariant for rank two vector bundles on \mathbb{P}^2

L. Roa-Leguizamón, H. Torres López, A. G. Zamora

We extend the concept of Segre's Invariant to vector bundles on a surface $X$ . For $X = P^{2}$ we determine what numbers can appear as the Segre Invariant of a rank $2$ vector…