On local properties of non-Archimedean analytic spaces

By M. Temkin. 2000

99 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ff27b2729f4e0ded0ace5231079956c47b00cb99

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In Mathematical Physics

Citations in the corpus

Les espaces de Berkovich sont excellents (2007, background): “On fixe un corps ultramétrique complet k ; on note p son exposant caractéristique ; si p = 1 et si n ∈ N, la notation k1/pn désignera simplement k. Rappelons qu’un espace analytique est dit bon si chacun de ses points a une base de voisinages affinöıdes ; les espaces affinöıdes, les analytifié”
Perfectoid Spaces: A survey (2013, background): “But proper rigid-analytic varieties, proper adic spaces and proper Berkovich spaces are canonically equivalent, and proper Berkovich spaces are good by [34], so one may use their result.”
Relative p-adic Hodge theory, II: Imperfect period rings (2016, methodology): “Temkin has shown [106] that there exists a projective birational morphism f0 : Y0 → Spec(A) (actually a composition of blowups along regular centers) which analytifies to a morphism f : Y → X of rigid analytic spaces with Y smooth and f−1(Z) a normal crossings divisor.”
Formes différentielles réelles et courants sur les espaces de Berkovich (2012, unknown): “(3.4.2) Bref rappel sur les réductions graduées à la Temkin.”
Relative Riemann-Zariski spaces (2008, unknown): “rthermore, the deﬁnition of relative Riemann-Zariski spaces can be naturally generalized to the case of an arbitrary morphism f : Y → X, and the case when f is a dominant point was already applied in [Tem1]. So, it is natural to investigate the relative RZ spaces associated to a morphism f: Y → X. W”
Non-archimedean analytification of algebraic spaces (2007, methodology): “ξin U. Choose some jand let V = Vj. Since Gphysically ﬁxes the point ξ∈ U, the action of Gon Uinduces a G-action on the strictly k-aﬃnoid germ (V,ξ). Let Veξ be the reduction of (V,ξ) in the sense of [T1]; this is a birational space over the residue ﬁeld ek (not to be confused with the theory of red”
$p$ -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES (2012, unknown): “For any x ∈ X, there is some affinoid open subset V ⊂ X such that {x} ⊂ V , by [20].”
On torsion in the cohomology of locally symmetric varieties (2013, background): “This follows from the main result of [61].”