102 citations · 388 across the 40 of their papers we have counts for
4 papers · 2 filters
Noncommutative motives of separable algebras
Goncalo Tabuada, Michel Van den Bergh
In this article we study in detail the category of noncommutative motives of separable algebras Sep(k) over a base field k. We start by constructing four different models of the fu…
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…
An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves
Alice Rizzardo, Michel Van den Bergh, Amnon Neeman
Orlov's famous representability theorem asserts that any fully faithful exact functor between the bounded derived categories of coherent sheaves on smooth projective varieties is a…
Scalar extensions of derived categories and non-Fourier-Mukai functors
Alice Rizzardo, Michel Van den Bergh
Orlov's famous representability theorem asserts that any fully faithful functor between the derived categories of coherent sheaves on smooth projective varieties is a Fourier-Mukai…