7 citations · 39 across the 13 of their papers we have counts for
5 papers · 1 filter
Dévissage for periodic cyclic homology of complete intersections
Michael K. Brown, Mark E. Walker
We prove that the dévissage property holds for periodic cyclic homology for a local complete intersection embedding into a smooth scheme. As a consequence, we show that the complex…
Periodicity of ideals of minors in free resolutions
Michael K. Brown, Hailong Dao, Prashanth Sridhar
We study the asymptotic behavior of the ideals of minors in minimal free resolutions over local rings. In particular, we prove that such ideals are eventually 2-periodic over compl…
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…
Positivity and nonstandard graded Betti numbers
Michael K. Brown, Daniel Erman
A foundational principle in the study of modules over standard graded polynomial rings is that geometric positivity conditions imply vanishing of Betti numbers. The main goal of th…
Linear syzygies of curves in weighted projective space
Michael K. Brown, Daniel Erman
We develop analogues of Green's -conditions for subvarieties of weighted projective space, and we prove that such -conditions are satisfied for high degree embeddings of…