11 citations · 33 across the 5 of their papers we have counts for
6 papers
On an analogue of the Markov equation for exceptional collections of length 4
Louis de Thanhoffer de Volcsey, Michel Van den Bergh
We classify the solutions to a system of equations, introduced by Bondal, which encode numerical constraints on full exceptional collections of length 4 on surfaces. The correspond…
Homological properties of a certain noncommutative Del Pezzo surface
Louis de Thanhoffer de Völcsey, Dennis Presotto
Recently, de Thanhoffer de Volcsey and Van den Bergh showed that Grothendieck groups of "noncommutative Del Pezzo surfaces" with an exceptional sequence of length 4 are isomorphic…
Some generalizations of Preprojective algebras and their properties
Dennis Presotto, Louis de Thanhoffer de Völcsey
In this note we consider a notion of relative Frobenius pairs of commutative rings . To such a pair, we associate an -graded -algebra which has a simpl…
Calabi-Yau Deformations and Negative Cyclic Homology
Michel Van den Bergh, Louis de Thanhoffer de Völcsey
In this paper we relate the deformation theory of Ginzburg Calabi-Yau algebras to negative cyclic homology. We do this by exhibiting a DG-Lie algebra that controls this deformation…
Explicit models for some stable categories of maximal Cohen-Macaulay modules
Louis de Thanhoffer de Völcsey, Michel Van den Bergh
We give concrete DG-descriptions of certain stable categories of maximal Cohen-Macaulay modules. This makes in possible to describe the latter as generalized cluster categories in…
Some new examples of non-degenerate quiver potentials
Louis de Thanhoffer de Völcsey, Michel Van den Bergh
We prove a technical result which allows us to establish the non-degeneracy of potentials on quivers in some previously unknown or non-obvious cases. Our result applies to certain…