7 papers · 1 filter
Some explicit counter-examples to Weibel's conjecture
Shane Kelly
We give two related but different methods for constructing rings of Krull dimension 1 and . The first works for , and the second works for any $d \geq…
Hodge cohomology with a ramification filtration, II
Shane Kelly, Hiroyasu Miyazaki
As a sequel of Part I, we consider a filtration of Hodge cohomology groups indexed by divisors "at infinity", and prove that they are represented in the category of motives with mo…
Hodge cohomology with a ramification filtration, I
Shane Kelly, Hiroyasu Miyazaki
We consider a filtration on the cohomology of the structure sheaf indexed by (not necessarily reduced) divisors ``at infinity''. We show that the filtered pieces have transfers mor…
Modulus sheaves with transfers
Shane Kelly, Hiroyasu Miyazaki
We generalise Kahn, Miyazaki, Saito, Yamazaki's theory of modulus pairs to pairs consisting of a qcqs scheme equipped with an effective Cartier divisor representin…
Cdh descent, cdarc descent, and Milnor excision
Elden Elmanto, Marc Hoyois, Ryomei Iwasa +1
We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh infinity-topos of a…
Smooth blowup square for motives with modulus
Shane Kelly, Shuji Saito
In this self-contained paper we prove that Voevodsky's smooth blowup triangle of motives generalises to a smooth blowup triangle of motives with modulus.