2 citations · 7 across the 15 of their papers we have counts for
17 papers
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…
The Harbourne-Hirschowitz condition and the Anticanonical Orthogonal Property for surfaces
Abel Castorena, Juan Bosco Frías-Medina
In this paper we give the first steps toward the study of the Harbourne-Hirschowitz condition and the Anticanonical Orthogonal Property for regular surfaces. To do so, we consider…
On the locus of genus curves that admit meromorphic differentials with a zero of order and a pole of order
Abel Castorena, Quentin Gendron
The main goal of this article is to compute the class of the divisor of obtained by taking the closure of the image of by the forg…
On linear stability and syzygy stability for rank 2 linear series
Abel Castorena, Ernesto C. Mistretta, Hugo Torres
In previous works, the authors investigated the relationships between linear stability of a generated linear series on a curve , and slope stabillity of the vector bundle…
New examples of reducible theta divisors for some Syzygy bundles
Abel Castorena, H. Torres-López
Let be a smooth complex irreducible projective curve of genus with general moduli, and let be a generated complete linear series of type over . Th…
An stratification of over a general curve
Abel Castorena, Graciela Reyes-Ahumada
For a general curve C of genus , we show that the Brill- Noether locus contains irreducible sub-varieties , where…