28 citations · 194 across the 25 of their papers we have counts for
4 papers · 1 filter
Lifting (co)stratifications between tensor triangulated categories
Liran Shaul, Jordan Williamson
We give necessary and sufficient conditions for stratification and costratification to descend along a coproduct preserving, tensor-exact -linear functor between -linear tens…
Smooth flat maps over commutative DG-rings
Liran Shaul
We study smooth maps that arise in derived algebraic geometry. Given a map between non-positive commutative noetherian DG-rings which is of flat dimension , we show th…
Koszul complexes over Cohen-Macaulay rings
Liran Shaul
We prove a Cohen-Macaulay version of a result by Avramov-Golod and Frankild-Jørgensen about Gorenstein rings, showing that if a noetherian ring is Cohen-Macaulay, and $a_1,\dot…
Open loci results for commutative DG-rings
Liran Shaul
Given a commutative noetherian non-positive DG-ring with bounded cohomology which has a dualizing DG-module, we study its regular, Gorenstein and Cohen-Macaulay loci. We give a suf…