Grothendieck witt group

Author: oyoh

August undefined, 2024

WebEn K-théorie algébrique et en théorie des catégories, le groupe de Grothendieck est une construction centrale qui associe un groupe abélien à toute catégorie triangulée ; En … Webhigher Grothendieck-Witt groups (aka. hermitian K-groups) are invariant un-der derived equivalences and that Morita exact sequences induce long exact se-quences of …

G-displays of Hodge type and formal p-divisible groups

WebJul 5, 2024 · The Grothendieck-Witt and Witt groups of $p$ -adic fields $F$ ( $p$ odd as in your question) are well-known: If the cardinality of the residue field $q$ is congruent to … mdph 81 albi

Grothendieck–Witt groups of some singular schemes

WebJan 21, 2024 · In [Sch3] definition of the Grothendieck-Witt spectrum is provided when 2 is invertible. From this in [Prop. 7.2, Sch3] he deduces a model for Balmer's higher Witt groups as homotopy groups of the L-theory spectrum. Webg´en´eralisation naturelle d’une formule de Grothendieck donnant le groupe de ... W = W(k): Witt vectors of k= ring of integers in K0. K¯: an algebraic closure of K. Ku: the maximal unramiﬁed subextension of K/K¯ . G = Gal(K/K¯ ): the Galois group of K¯ over K. ... I is not big enough to capture the p-part of the component group. But ... WebIn mathematics, a Witt groupof a field, named after Ernst Witt, is an abelian groupwhose elements are represented by symmetricbilinear formsover the field. Definition[edit] Fix a … mdph 80 formulaire

Grothendieck group - Encyclopedia of Mathematics

WebApr 8, 2024 · Let G be a reductive group scheme over the p-adic integers, and let $$\\mu $$ μ be a minuscule cocharacter for G. In the Hodge-type case, we construct a functor from nilpotent $$(G,\\mu )$$ ( G , μ ) -displays over p-nilpotent rings R to formal p-divisible groups over R equipped with crystalline Tate tensors. When R/pR has a p-basis étale locally, we … Web1. The Grothendieck-Witt ring of a field k Recall from the lecture that the Grothendieck-Witt ring of a eld kis the group completion of isometry classes of non-degenerate … mdph 77 formationWebMar 26, 2024 · The Grothendieck group of an additive category is an Abelian group that is assigned to an additive category by a universal additive mapping property. More exactly, … mdph acheres

"WebSummary. In this paper, we study the Nisnevich sheafification é H ét 1 ( G) of the presheaf associating to a smooth scheme the set of isomorphism classes of G -torsors, for a reductive group G. We show that if G -torsors on affine lines are extended, then é H ét 1 ( G) is homotopy invariant and show that the sheaf is unramified if and only ... " - Grothendieck witt group

G-displays of Hodge type and formal p-divisible groups

Grothendieck–Witt groups of some singular schemes

Grothendieck witt group

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