2 edition of **F-crystals, Griffiths transversality, and the Hodge decomposition** found in the catalog.

F-crystals, Griffiths transversality, and the Hodge decomposition

Arthur Ogus

- 235 Want to read
- 21 Currently reading

Published
**1994**
by Sociéte mathétique de France in Paris
.

Written in English

- Geometry, Algebraic.,
- Homology theory.

**Edition Notes**

Includes bibliographical references (p. 181-183).

Statement | Arthur Ogus. |

Series | Astérisque -- 221. |

The Physical Object | |
---|---|

Pagination | 183 p. ; |

Number of Pages | 183 |

ID Numbers | |

Open Library | OL15392737M |

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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F-crystals, Griffiths transversality, and the Hodge decomposition (Astérisque) Unknown Binding – January 1, by Arthur Ogus (Author) See all formats and editions Hide other formats and F-crystals.

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Faisceaux érisque,[3] Pierre Berthelot. Cohomologie Cristalline des Schémas de Caractéristique p > 0, volume of Lecture Notes in Mathematics. F-crystals 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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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.

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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.

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Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.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.

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