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2-Cohomology of semi-simple simply connected group-schemes over curves defined over $p$ -adic fields

Jean-Claude Douai (2013)

Journal de Théorie des Nombres de Bordeaux

Let $X$ be a proper, smooth, geometrically connected curve over a $p$ -adic field $k$ . Lichtenbaum proved that there exists a perfect duality: $Br (X) \times Pic (X) \to ℚ / ℤ$ between the Brauer and the Picard group of $X$ , from which he deduced the existence of an injection of $Br (X)$ in $\prod_{P \in X} Br (k_{P})$ where $P \in X$ and $k_{P}$ denotes the residual field of the point $P$ . The aim of this paper is to prove that if $G = \tilde{G}$ is an $X_{e t}$ - scheme of semi-simple simply connected groups (s.s.s.c groups), then we can deduce from Lichtenbaum’s results the neutrality of every $X_{e t}$ -gerb which...

Currently displaying 1 – 9 of 9

Page 1

Displaying 1 – 9 of 9

2-Cohomology of semi-simple simply connected group-schemes over curves defined over $p$ -adic fields

«Monodromie archimédienne» d'une courbe complexe : un appendice à [3]

$π$ -adic Eisenstein series for function fields

Значения $p$ -адических рядов Гекке в целых точках критической полосы

Неархимедова униформизация

Неархимедовы меры, связанные с рядами Дирихле

О когомологиях Галуа эллиптических кривых, определенных над локальным полем

Об эллиптических кривых над псевдолокальными полями

Полуалгебраические множества и варианты теоремы Тарского-Зайденберга-Макинтайра

Currently displaying 1 – 9 of 9