activity
20032026
most citedTriangulated categories without models

50 citations · 231 across the 36 of their papers we have counts for

collaborators

37 papers

math.RT2026

An exotic finite pretriangulated category over any algebraically closed field

Javier Díaz Cabrera, Fernando Muro

We show that, over any algebraically closed field of any characteristic, the category of finite-dimensional projective modules over the preprojective algebra of generalized Dynkin…

math.AG2023★ 4 cited

The Donovan--Wemyss Conjecture via the Derived Auslander--Iyama Correspondence

Gustavo Jasso, Bernhard Keller, Fernando Muro

We provide an outline of the proof of the Donovan--Wemyss Conjecture in the context of the Homological Minimal Model Program for threefolds. The proof relies on results of August,…

math.RT2022★ 1 cited

The Derived Auslander-Iyama Correspondence

Gustavo Jasso, Bernhard Keller, Fernando Muro

We work over a perfect field. Recent work of the third-named author established a Derived Auslander Correspondence that relates finite-dimensional self-injective algebras that are…

math.KT2021

Derived universal Massey products

Fernando Muro

We define an obstruction to the formality of a differential graded algebra over a graded operad defined over a commutative ground ring. This obstruction lives in the derived operad…

math.AT2021★ 1 cited

A model structure for locally constant factorization algebras

Victor Carmona, Ramon Flores, Fernando Muro

Several model structures related to the homotopy theory of locally constant factorization algebras are constructed. This answers a question raised by D. Calaque in his habilitation…

math.AT2021★ 2 cited

Derived homotopy algebras

Jeroen Maes, Fernando Muro

We develop a theory of minimal models for algebras over an operad defined over a commutative ring, not necessarily a field, extending and supplementing the work of Sagave in the as…