7 citations · 43 across the 22 of their papers we have counts for
29 papers
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…
The Total Rank Conjecture in Characteristic Two
Keller VandeBogert, Mark E. Walker
The Total Rank Conjecture is a coarser version of the Buchsbaum-Eisenbud-Horrocks conjecture which, loosely stated, predicts that modules with large annihilators must also have ``l…
Idempotent completions of equivariant matrix factorization categories
Michael K. Brown, Mark E. Walker
We prove that equivariant matrix factorization categories associated to henselian local hypersurface rings are idempotent complete, generalizing a result of Dyckerhoff in the non-e…
Lim Ulrich sequences and Boij-Söderberg cones
Srikanth B. Iyengar, Linquan Ma, Mark E. Walker
This paper extends the results of Boij, Eisenbud, Erman, Schreyer, and Söderberg on the structure of Betti cones of finitely generated graded modules and finite free complexes over…
Maximal Cohen-Macaulay complexes and their uses: A partial survey
Srikanth B. Iyengar, Linquan Ma, Karl Schwede +1
This work introduces a notion of complexes of maximal depth, and maximal Cohen-Macaulay complexes, over a commutative noetherian local ring. The existence of such complexes is clos…
Multiplicities and Betti numbers in local algebra via lim Ulrich points
Srikanth B. Iyengar, Linquan Ma, Mark E. Walker
This work concerns finite free complexes with finite length homology over a commutative noetherian local ring . The focus is on complexes that have length , wh…