Milnor <i>K</i>-theory of <i>p</i>-adic rings
نویسندگان
چکیده
Abstract We study the mod p r {p^{r}} Milnor K -groups of p -adically complete and -henselian rings, establishing in particular a Nesterenko–Suslin-style description terms range syntomic cohomology. In case smooth schemes over discrete valuation rings we prove Gersten conjecture for -theory locally Nisnevich topology. characteristic show that Bloch–Kato–Gabber theorem remains true regular formal pro sense.
منابع مشابه
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ژورنال
عنوان ژورنال: Crelle's Journal
سال: 2022
ISSN: ['1435-5345', '0075-4102']
DOI: https://doi.org/10.1515/crelle-2022-0079