3 papers
math.RT2025
About UMP algebras and a special classification case
Jhony F. Caranguay-Mainguez, Andrés Franco, David Reynoso-Mercado +1
The class of UMP algebras arises in several classification problems in the context of derived categories of finite-dimensional algebras. In this paper we define the class of UMP al…
math.RT2025
UMP Monomial Algebras: Combinatorial and Homological Consequences
Jhony Caranguay-Mainguez, Andrés Franco, David Reynoso-Mercado +1
In this paper, we apply the techniques developed in [5] to present several consequences of studying UMP algebras and the ramifications graph of a monomial bound quiver algebra. Spe…
math.LO2025
A note on the definability of genus for Zariski geometries
DarÃo GarcÃa, Pedro Rizzo, Joel Torres del Valle
In this work we propose a notion of genus in the context of Zariski geometries and we obtain natural generalizations of the Riemann--Hurwitz Theorem and the Hurwitz Theorem in the…