Hodge cohomology with a ramification filtration, II
Algebraic Geometry
2023-06-13 v1 K-Theory and Homology
Abstract
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 modulus. In particular, we obtain a realisation functor of the Hodge cohomology groups.
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Cite
@article{arxiv.2306.06864,
title = {Hodge cohomology with a ramification filtration, II},
author = {Shane Kelly and Hiroyasu Miyazaki},
journal= {arXiv preprint arXiv:2306.06864},
year = {2023}
}
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29 pages