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math.AG2023
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…
math.AG2023
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…