4 papers · 1 filter
Moduli of parabolic bundles on an elliptic curve
Roberto Alvarenga, Inder Kaur, Frank Loray
A lot is known about the moduli space of parabolic bundles over curves of genus , but the lower genus cases are notably different. The goal of this article is to study the…
On the Bourbaki Degree of Plane Projective Curves
Roberto Alvarenga, Murillo Lozano, Parham Salehyan
Let be a reduced plane projective curve defined over an algebraically closed field . The Bourbaki degree of , denoted by , measures its freeness and was…
Hall algebras and Hecke modifications of vector bundles
Roberto Alvarenga, Leonardo Moço
In this article, we investigate Hecke modifications of vector bundles on a smooth projective curve defined over an arbitrary field. We obtain structural results that allow us t…
Hecke modifications of vector bundles
Roberto Alvarenga, Inder Kaur, Leonardo Moço
Hecke modifications of vector bundles have played a significant role in several areas of mathematics. They appear in subjects ranging from number theory to complex geometry. This a…