2 citations · 3 across the 4 of their papers we have counts for
4 papers
On the p-adic weight-monodromy conjecture for complete intersections in toric varieties
Federico Binda, Hiroki Kato, Alberto Vezzani
We give a proof of the -adic weight monodromy conjecture for scheme-theoretic complete intersections in projective smooth toric varieties. The strategy is based on Scholze's pro…
Étale cohomology of algebraizable rigid analytic varieties via nearby cycles over general bases
Hiroki Kato
We prove a finiteness theorem and a comparison theorem in the theory of étale cohomology of rigid analytic varieties. By a result of Huber, for a quasi-compact separated morphism o…
Wild ramification, the nearby cycle complexes, and the characteristic cycles of -adic sheaves
Hiroki Kato
We prove a purely local form of a result of Saito and Yatagawa. They proved that the characteristic cycle of a constructible étale sheaf is determined by wild ramification of the s…
Wild Ramification and Restrictions to Curves
Hiroki Kato
We prove that wild ramification of a constructible sheaf on a surface is determined by that of the restrictions to all curves. We deduce from this result that the Euler-Poincaré ch…