Witryna8 kwi 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 … Witryna26 sie 2024 · The pullback of a morphism in R R belongs to R R. If the pullback of a morphism f f along an epimorphism lands in R R , then f f is also in R R . For every set S S the canonical morphism ( ∐ s ∈ S * ) → * (\coprod_{s \in S} *) \to * from the S S -fold coproduct of the terminal object to the terminal object is in R R .
(PDF) Lax colimits and free fibrations in ∞-categories (2024)
WitrynaSo, take any X that is CM, but not Gorenstein. Then ω X will be a non-locally free CM sheaf. Here is an explicit example: X = A 3 / ( x, y, z) ∼ ( − x, − y, − z) See this MO answer for a proof that ω X is not locally free. The fact that this X is CM follows from that it is a finite quotient. (b) Let X be a normal surface (hence it is ... Witryna8 lis 2024 · Norms in motivic homotopy theory. Tom Bachmann, Marc Hoyois. If f:S' \to S is a finite locally free morphism of schemes, we construct a symmetric monoidal … hamburgers midwest city
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Witryna37.60 Local complete intersection morphisms. 37.60. Local complete intersection morphisms. In Divisors, Section 31.21 we have defined 4 different types of regular immersions: regular, Koszul-regular, H_1 -regular, and quasi-regular. In this section we consider morphisms f : X \to S which locally on X factor as. WitrynaDefinition. A morphism of schemes : is called a Nisnevich morphism if it is an étale morphism such that for every (possibly non-closed) point x ∈ X, there exists a point y ∈ Y in the fiber f −1 (x) such that the induced map of residue fields k(x) → k(y) is an isomorphism.Equivalently, f must be flat, unramified, locally of finite presentation, and … WitrynaThe equivalence of (1) and (4) follows from the fact that being finite locally free is Zariski local on the target (the reference above shows that being finite locally free is in fact … burning and itching after urination