3 citations · 3 across the 4 of their papers we have counts for
4 papers
From Persistence to Resilience: New Betti Numbers for Analyzing Robustness in Simplicial Complex Networks
Pablo Hernández-García, Daniel Hernández Serrano, Darío Sánchez Gómez
We show how persistence can be used to measure the robustness of cohomological cycles in finite simplicial complexes. We introduce two families of invariants: thick Betti numbers,…
On Koszul complex of a supermodule
Darío Sánchez Gómez, Fernando Sancho de Salas
This paper is devoted to an exposition of the Koszul complex of a supermodule and its Berezinian from an intrinsic and as general as possible point of view. As an application, an a…
Moduli Spaces of Semistable Sheaves on Singular Genus One Curves
Daniel Hernández Ruipérez, Ana Cristina López Martín, Darío Sánchez Gómez +1
We find some equivalences of the derived category of coherent sheaves on a Gorenstein genus one curve that preserve the (semi)-stability of pure dimensional sheaves. Using them we…
A Characterization of Jacobians by the Existence of Picard Bundles
Ana Cristina López Martín, Ernesto Carlo Mistretta, Darío Sánchez Gómez
Based on the Matsusaka-Ran criterion we give a criterion to characterize when a principal polarized abelian variety is a Jacobian by the existence of Picard bundles.