7 citations · 11 across the 6 of their papers we have counts for
7 papers
Comparison of two constructions of noncommutative surfaces with exceptional collections of length 4
Pieter Belmans, Dennis Presotto, Michel Van den Bergh
Recently the Euler forms on numerical Grothendieck groups of rank 4 whose properties mimick that of the Euler form of a smooth projective surface have been classified. This classif…
Construction of noncommutative surfaces with exceptional collections of length 4
Pieter Belmans, Dennis Presotto
Recently de Thanhoffer de Völcsey and Van den Bergh classified the Euler forms on a free abelian group of rank 4 having the properties of the Euler form of a smooth projective surf…
-algebras as noncommutative blow-ups
Dennis Presotto
The goal of this note is to first prove that for a well behaved -algebra , the category is equivalent to where is a diag…
Symmetric noncommutative birational transformations
Dennis Presotto
In a previous paper (arXiv:1410.5207) certain birational transformations were constructed between the noncommutative schemes associated to quadratic and cubic three dimensional Skl…
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…
Noncommutative versions of some classical birational transformations
Michel Van den Bergh, Dennis Presotto
In this paper we generalize some classical birational transformations to the non-commutative case. In particular we show that 3-dimensional quadratic Sklyanin algebras (non-commuta…