2 citations · 3 across the 2 of their papers we have counts for
2 papers
math.AG2019★ 1 cited
-independence of the trace of local monodromy in a relative case
Hiroki Kato
For a family of varieties, we prove that the alternating sum of the traces of "local" monodromy acting on the -adic étale cohomology groups of the generic fiber is an integer…
math.AG2016★ 2 cited
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…