F-crystals, Griffiths transversality, and the Hodge decomposition by Arthur Ogus

Cover of: F-crystals, Griffiths transversality, and the Hodge decomposition | Arthur Ogus

Published by Sociéte mathématique de France in Paris .

Written in English

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Subjects:

  • Hodge theory.,
  • Vanishing theorems.,
  • Geometry, Algebraic.,
  • Homology theory.

Edition Notes

Includes bibliographical references (p. 181-183).

Book details

StatementArthur Ogus.
SeriesAstérisque,, 221
Classifications
LC ClassificationsQA564 .O37 1994
The Physical Object
Pagination183 p. ;
Number of Pages183
ID Numbers
Open LibraryOL532582M
LC Control Number96109500
OCLC/WorldCa30959950

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Exponential sums and Newton polyhedra: Cohomology and of Mathematics,[2] A. Beilinson, J. Bernstein, and P. Deligne. Faisceaux érisque,[3] Pierre Berthelot. Cohomologie Cristalline des Schémas de Caractéristique p > 0, volume of Lecture Notes in Mathematics.

Arthur Edward Ogus is an American research is in algebraic geometry; he has served as chair of the mathematics department at the University of California, Berkeley.

Ogus did his undergraduate studies at Reed College, graduating inand earned his doctorate in from Harvard University under the supervision of Robin Hartshorne.

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Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. Given a scheme in characteristic p together with a lifting modulo p 2, we construct a functor from a category of suitably nilpotent modules with connection to the category of Higgs modules.

We use this functor to generalize the decomposition theorem of Deligne-Illusie to the case of de Rham cohomology with by: Publishing History This is a chart to show the publishing history of editions of works about this subject.

Along the X axis is time, and on the y axis is the count of editions published. Download Citation | Moduli of log twisted $\mathcal{N} =1$ SUSY curves | The goal of the present paper is to construct a smooth compactification of the moduli superstack classifying pointed.

Elliptic Crystals and Modular Motives. F-crystals, Griffiths transversality, and the Hodge decomposition. relates the Hodge numbers of X k to the action of Frobenius on the crys-talline Author: Arthur Ogus.

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All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library, you could find million. Given a scheme in characteristic p together with a lifting modulo p 2, we construct a functor from a category of suitably nilpotent modules with connection to the category of Higgs use this functor to generalize the decomposition theorem of Deligne-Illusie to Cited by: @article{Ogus, abstract = {Given a scheme in characteristic p together with a lifting modulo p2, we construct a functor from a category of suitably nilpotent modules with connection to the category of Higgs modules.

We use this functor to generalize the decomposition theorem of Deligne-Illusie to the case of de Rham cohomology with coefficients.}, author = {Ogus, A., Vologodsky, V Cited by:   Abstract. Let k be an algebraic closure of a finite field of odd characteristic. We prove that for any rank two graded Higgs bundle with maximal Higgs field over a generic hyperboAuthor: Guitang Lan, Mao Sheng, Yanhong Yang, Kang Zuo.

Hodge algebras. Société mathématique de france. Corrado de Concini, F-crystals, Griffiths transversality, and the Hodge decomposition. Société Mathématique de France. Arthur Ogus. A search query can be a title of the book, a name of the author, ISBN or anything else.

[2] J. Carlson and P. Griffiths, Infinitesimal variations of Hodge structure and the global Torelli problem, Journées de Géometrie Algébrique d'Angers, Juillet /Algebraic Geometry, Angers,Sijthoff & Noordhoff, Alphen aan den Rijn,pp. 51– King Pellinore or Pellinor is the king of Listenoise or of "the Isles", according to the Arthurian legend.

Pellinore is a major figure in the 13th-century Post-Vulgate prose cycle and the sections of Thomas Malory's Le Morte d'Arthur based on it. There, as son of King Pellam and brother of Kings Pelles and Alain, he is most famous for his endless hunt of the Questing Beast, which he is. The book presents the winners of the Abel Prize in mathematics for the period – Pierre Deligne (); Yakov G.

Sinai (); John Nash Jr. and Louis Nirenberg (); Sir Andrew Wiles (); and Yves Meyer (). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work.

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Hodge theory (Julius Ross) The Hodge decomposition of the space of differential forms groups on a Riemannian manifold gives canonical representatives for each cohomology class.

I intend to discuss this theory and outline the analysis used in its proof using the Sobolev theory from the previous week.

It provides a simultaneous generalization of the “classical case” homogeneous complex manifolds studied by Griffiths–Schmid and the “flag space” for Siegel varieties studied by Ekedahl–van der Geer.

Four applications are obtained: (1) Pseudo-representations are attached to the coherent cohomology of Hodge-type Shimura varieties. Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen.-Berlin: Springer, S.

(Lect. Notes in Math., v. 40) [, ] Автор: Tits J. This is a report on the work of Pierre Deligne. Dix choses soupçonnées seulement, dont aucune (la conjecture de Hodge disons) n’entraîne conviction, mais qui mutuellement s’éclairent et se complètent et semblent concourir à une même harmonie encore mystérieuse, acquièrent dans cette harmonie force de : Luc Illusie.

• The filtration F k on (Rq f∗ Z) ⊗ OD. satisfy the Griffiths transversality condition and are called a Variation of (pure) Hodge Structures. Let us suppose for simplicity that. Les trois th`emes abord´es (Th´eorie de Hodge L2 et th´eor`emes d’annulation, Frobenius et d´eg´en´erescence de Hodge, Variations de structures de Hodge et sym´etrie miroir) recouvrent une grande diversit´e de techniques: ´equations aux d´eriv´ees partielles elliptiques, g´eom´etrie diff´erentielle complexe, g´eom´etrie alg.

Perfectoid Spaces: A Survey - Read online for free. Perfectoid Spaces: A Survey. \section{Log de Rham and Hodge structures}\label{DeRham} %\input{LOG-Hodge} The main references of this section are \cite{Kato-Usui-book,Kato-Nakayama,K-M-N}. This section owes much to a lecture by Phillip Griffiths \cite{Gri}.

\subsection*{Moduli spaces of polarized Hodge structures.}.

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