activity
19982019
most citedBlowing up non-commutative smooth surfaces

133 citations · 376 across the 27 of their papers we have counts for

collaborators

31 papers

math.KT2019★ 6 cited

The -structure on the derived endomorphism algebra of the unit in a monoidal category

Wendy Lowen, Michel Van den Bergh

Consider a monoidal category which is at the same time abelian with enough projectives and such that projectives are flat on the right. We show that there is a -algebra…

math.AG2019★ 1 cited

The Frobenius morphism in invariant theory II

Theo Raedschelders, Špela Špenko, Michel Van den Bergh

Let be the homogeneous coordinate ring of the Grassmannian defined over an algebraically closed field of characteristic . In this…

math.AG2018★ 3 cited

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…

math.AG2018

Tilting bundles on hypertoric varieties

Špela Špenko, Michel Van den Bergh

Recently McBreen and Webster constructed a tilting bundle on a smooth hypertoric variety (using reduction to finite characteristic) and showed that its endomorphism ring is Koszul.…

math.AG2018

On the noncommutative Bondal-Orlov conjecture for some toric varieties

Špela Špenko, Michel Van den Bergh, with an appendix by Jason P. Bell

We show that all toric noncommutative crepant resolutions (NCCRs) of affine GIT quotients of "weakly symmetric" unimodular torus representations are derived equivalent. This yields…

math.AG2017

The Frobenius morphism in invariant theory

Theo Raedschelders, Špela Špenko, Michel Van den Bergh

Let be the homogeneous coordinate ring of the Grassmannian defined over an algebraically closed field of characteristic . In this paper…