3 citations · 3 across the 2 of their papers we have counts for
3 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,…
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.