activity
20242026
collaborators

7 papers

math.RT2026

Resolving subcategories for gentle algebras III: Tilting modules for gentle tree algebras

Benjamin Dequêne, Michaël Schoonheere

This paper is the third part of a series that intends to study the resolving subcategories for gentle algebras over an algebraically closed field . As in the previous t…

math.RT2026

Canonically Jordan recoverable categories for modules over the path algebra of type quivers

Benjamin Dequêne

Let be a quiver of type and be an algebraically closed field. A nilpotent endomorphism of a quiver representation induces a linear transformation of the vect…

math.CO2026

Flows on graphs with cycles, locally gentle algebras, and the Mutoperhedron

Antoine Abram, Jose Bastidas, Benjamin Dequêne +3

Flow cones of a directed acyclic graph admit a family of unimodular triangulations given by Danilov, Karzanov, and Koshevoy (DKK) whose normal fans are related to (generalizations)…

math.RT2025

Resolving subcategories for gentle algebras II: Resolving subcategories for gentle trees

Benjamin Dequêne, Michaël Schoonheere

This paper is the second part of a series that intends to study the resolving subcategories for gentle algebras over an algebraically closed field . As in the first par…

math.RT2025

Resolving subcategories for gentle algebras I: Monogeneous resolving subcategories for gentle trees

Benjamin Dequêne, Michaël Schoonheere

This paper is the first part of a series that intends to study the resolving subcategories for gentle algebras over an algebraically closed field . In a general setting…

math.RT2025

Exact structures and maximal canonically Jordan recoverable subcategories for modules over type algebras

Benjamin Dequêne, Sunny Roy

On one hand, exact structures were introduced by D. Quillen in the '70s. They can be defined as collections of short exact sequences in a fixed abelian category satisfying addition…