Relevant bibliographies by topics / Completed étale cohomology

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  1. Journal articles
  2. Dissertations / Theses
  3. Books

Academic literature on the topic 'Completed étale cohomology'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Completed étale cohomology"

1

Leal, Isabel. "On the ramification of étale cohomology groups." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 749 (2019): 295–304. http://dx.doi.org/10.1515/crelle-2016-0035.

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Abstract Let K be a complete discrete valuation field whose residue field is perfect and of positive characteristic, let X be a connected, proper scheme over \mathcal{O}_{K} , and let U be the complement in X of a divisor with simple normal crossings. Assume that the pair (X,U) is strictly semi-stable over \mathcal{O}_{K} of relative dimension one and K is of equal characteristic. We prove that, for any smooth \ell -adic sheaf \mathcal{G} on U of rank one, at most tamely ramified on the generic fiber, if the ramification of \mathcal{G} is bounded by t+ for the logarithmic upper ramification gr
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2

DING, YIWEN. "-INVARIANTS AND LOCAL–GLOBAL COMPATIBILITY FOR THE GROUP." Forum of Mathematics, Sigma 4 (2016). http://dx.doi.org/10.1017/fms.2016.9.

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Let $F$ be a totally real number field, ${\wp}$ a place of $F$ above $p$. Let ${\it\rho}$ be a $2$-dimensional $p$-adic representation of $\text{Gal}(\overline{F}/F)$ which appears in the étale cohomology of quaternion Shimura curves (thus ${\it\rho}$ is associated to Hilbert eigenforms). When the restriction ${\it\rho}_{{\wp}}:={\it\rho}|_{D_{{\wp}}}$ at the decomposition group of ${\wp}$ is semistable noncrystalline, one can associate to ${\it\rho}_{{\wp}}$ the so-called Fontaine–Mazur ${\mathcal{L}}$-invariants, which are however invisible in the classical local Langlands correspondence. In
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Dissertations / Theses on the topic "Completed étale cohomology"

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Ding, Yiwen. "Formes modulaires p-adiques sur les courbes de Shimura unitaires et compatibilité local-global." Thesis, Paris 11, 2015. http://www.theses.fr/2015PA112035/document.

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Cette thèse s'inscrit dans le cadre du programme de Langlands local p-adique. Soient L une extension finie de Q_p, \rho_L une représentation p-adique de dimension 2 du groupe de Galois Gal(\overline{Q_p}/L) de L, lorsque \rho_L provient d'une représentation \rho globale et modulaire (i.e. \rho apparaît dans la cohomologie étale des courbes de Shimura), on sait associer à \rho une représentation de Banach admissible de \GL_2(L), notée \widehat{\Pi}(\rho), en utilisant la théorie de la cohomologie étale complétée d'Emerton. Localement, lorsque \rho_L est cristalline (et assez générique), d'après
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2

Charles, François. "Cycles algébriques et cohomologie de certaines variétés projectives complexes." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2010. http://tel.archives-ouvertes.fr/tel-00472932.

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Dans ma thèse, je propose plusieurs contributions à l'étude de la cohomologie des variétés projectives complexes ainsi qu'à la construction de cycles algébriques. Le mémoire se compose de plusieurs parties qui, si elles sont indépendantes, essaient toutes trois de tirer parti de la nature multiple de ces variétés, à la fois variétés kähleriennes, donc objets analytiques, variétés algébriques, et enfin objets arithmétiques, étant toujours définies sur un corps de type fini sur $\Q$. La première partie de ce texte, parue au journal de Crelle, s'intéresse au problème de la topologie des variétés
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Books on the topic "Completed étale cohomology"

1

Haesemeyer, Christian, and Charles A. Weibel. The Norm Residue Theorem in Motivic Cohomology. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691191041.001.0001.

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This book presents the complete proof of the Bloch–Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups. Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The book draws on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduces the key figures behind its development. It pr
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