7 citations · 39 across the 13 of their papers we have counts for
5 papers · 1 filter
A short proof of the Hanlon-Hicks-Lazarev Theorem
Michael K. Brown, Daniel Erman
We give a short, new proof of a recent result of Hanlon-Hicks-Lazarev about toric varieties. As in their work, this leads to a proof of a conjecture of Berkesch-Erman-Smith on virt…
A short resolution of the diagonal for smooth projective toric varieties of Picard rank 2
Michael K. Brown, Mahrud Sayrafi
Given a smooth projective toric variety of Picard rank 2, we resolve the diagonal sheaf on by a linear complex of length consisting of finite direct sums…
Tate resolutions on toric varieties
Michael K. Brown, Daniel Erman
We develop an analogue of Eisenbud-Floystad-Schreyer's Tate resolutions for toric varieties. Our construction, which is given by a noncommutative analogue of a Fourier- Mukai trans…
Standard Conjecture D for matrix factorizations
Michael K. Brown, Mark E. Walker
We prove the non-commutative analogue of Grothendieck's Standard Conjecture D for the dg-category of matrix factorizations of an isolated hypersurface singularity in characteristic…
Topological K-theory of Equivariant Singularity Categories
Michael K. Brown, Tobias Dyckerhoff
We study the topological K-theory spectrum of the dg singularity category associated to a weighted projective complete intersection. We calculate the topological K-theory of the dg…