3 citations · 7 across the 6 of their papers we have counts for
6 papers
A Note On the moduli space of rank two vector bundles on Hirzebruch surfaces
L. Roa-Leguizamón
The aim of this paper is to study the Segre invariant for rank vector bundles on Hirzebruch surfaces , . We give necessary conditions in order to determ…
Stability conditions for coherent systems on Integral Curves
Marcos Jardim, Leonardo Roa-Leguizamón, Renato Vidal Martins
We present stability conditions for the category of coherent systems on an integral curve. We define a three-parameter family of pre-stability conditions in its derived category us…
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.
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 be…
A note on rank two stable bundles over surfaces
Graciela Reyes-Ahumada, L. Roa-Leguizamón, H. Torres-López
Let be a fibration with reduced fibers over a curve and consider a polarization on the surface . Let be a stable vector bundle of rank o…
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 . For we determine what numbers can appear as the Segre Invariant of a rank vector…