H. Torres-López

activity

20172022

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

3 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2022

On the Hilbert scheme of the moduli space of torsion free sheaves on surfaces

O. Mata-Gutiérrez, L. Roa-Leguizamón, H. Torres-López

The aim of this paper is to determine a bound of the dimension of an irreducible component of the Hilbert scheme of the moduli space of torsion-free sheaves on surfaces. Let $X$ be…

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…

math.AG2017★ 1 cited

Linear stability and stability of Lazarsfeld-Mukai bundles

Abel Castorena, H. Torres-Lopez

Let $C$ be a smooth irreducible projective curve and let $(L, H^{0} (C, L))$ be a complete and generated linear series on $C$ . Denote by $M_{L}$ the kernel of the evaluation map $H^0(C,L)…