3 papers
math.AG2023
On the stability of foliations of degree 3 with a unique singular point
Abel Castorena, P. Rubí Pantaleón-Mondragón, Juan Vásquez Aquino
Applying Geometric Invariant Theory (GIT), we study the stability of foliations of degree 3 on P^2 with a unique singular point of multiplicity 1, 2, or 3 and Milnor number 13. In…
math.AG2021
Geometric aspects on Humbert-Edge's curves of type 5, Kummer surfaces and hyperelliptic curves of genus 2
Abel Castorena, Juan Bosco Frías-Medina
In this work we study the Humbert-Edge's curves of type 5, defined as a complete intersection of four diagonal quadrics in . We characterize them using Kummer surface…
math.AG2014
Remarks on Ruled surfaces and rank two bundles with canonical determinant and 4 sections
Abel Castorena, Graciela Reyes-Ahumada
Let be a smooth irreducible complex projective curve of genus and let be the Brill-Noether loci parametrizing classes of (semi)-stable vector bundles of ra…