3 edition of **Hodge Cycles, Motives, and Shimura Varieties (Lecture Notes in Mathematics)** found in the catalog.

Hodge Cycles, Motives, and Shimura Varieties (Lecture Notes in Mathematics)

Pierre Deligne

- 158 Want to read
- 2 Currently reading

Published
**October 18, 1989** by Springer .

Written in English,

- Geometry,
- Topology,
- Algebra - General,
- Geometry - Algebraic,
- Mathematics / Geometry / Algebraic,
- Mathematics

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

Format | Paperback |

Number of Pages | 416 |

ID Numbers | |

Open Library | OL9800294M |

ISBN 10 | 3540111743 |

ISBN 10 | 9783540111740 |

on the geometry of the Hodge-Tate period map. In particular, we compare the bres of the Hodge-Tate period map with Igusa varieties. Contents 1. Introduction 2 2. Re ning the Hodge-Tate period map 10 Recollections on the Hodge-Tate period map 10 The p-adic-de Rham comparison isomorphism 13 Hodge cycles and torsors 16 3. We study the Selmer variety associated to a canonical quotient of the Q p-pro-unipotent fundamental group of a smooth projective curve of genus at least two defined over Q whose Jacobian decomposes into a product of abelian varieties with complex multiplication. Elementary multivariable Iwasawa theory is used to prove bounds for the dimension of the Selmer variety, Cited by: Browse our wide collection of m varieties this week! M Varieties in Stock. Buy M Varieties on eBay now! 1, Worth. 1, Worth Of Hot Wheels, Johnny Lightning, M2 Machines, All Varieties. $ M-solid Varieties Of Algebras By Jvrg Koppitz English Hardcover Book Free Ship. Pierre Deligne is the author of Quantum Fields and Strings; A Course for Mathematicians ( avg rating, 9 ratings, 0 reviews, published ), Commensu /5(16).

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Hodge Cycles, Motives, and Shimura Varieties (with Pierre Deligne, Arthur Ogus, Kuang-yen Shih) Lecture Notes in Math. Springer-Verlag,pages, ISBN and Usually out of print.

List price USD (paperback) Springer Available online at springerlink for USD per section. Hodge Cycles, Motives, and Shimura Varieties (Lecture Notes in Mathematics) Corrected Edition Edition by Pierre Deligne (Author), James S.

Milne (Contributor), Arthur Ogus (Contributor), Kuang-yen Shih (Contributor) & 1 morePrice: $ Pierre Deligne, James S. Milne, Arthur Ogus, Kuang-yen Shih. Pages PDF. Hodge Cycles, Motives, and Shimura Varieties It seems that you're in USA.

We have a dedicated site for USA Get immediate ebook access* when you order a print book Mathematics Algebra. Lecture Notes in Mathematics. Free Preview Hodge Cycles on Abelian Varieties. - Buy Hodge Cycles, Motives, and Shimura Varieties (Lecture Notes in Mathematics) book online at best prices in India on Read Hodge Cycles, Motives, and Shimura Varieties (Lecture Notes in Mathematics) book reviews & author details and more at Free delivery on qualified : Pierre Deligne, James S.

Milne, Arthur Ogus. Hodge Cycles, Motives, and Shimura Varieties | Deligne P. | download | B–OK. Download books for free. Find books. Cite this chapter as: Deligne P. () Erratum: Hodge Cycles on Abelian Varieties. In: Hodge Cycles, Motives, and Shimura Varieties.

Lecture Notes in Mathematics, vol Cited by: Additional Physical Format: Online version: Hodge cycles, motives, and Shimura varieties. Berlin ; New York: Springer-Verlag, (OCoLC) Genre/Form: Electronic books: Additional Physical Format: Print version: Hodge cycles, motives, and Shimura varieties.

Berlin ; New York: Springer-Verlag, Lecture 8. Absolute Hodge cycles on abelian varieties of CM-type II. Following [Del82, pp], discuss a moduli space of abelian varieties with additional structures and show that Hodge cycles are absolute Hodge cycles in a special case ([Del82, Theorem ]).

See also [Mil05, pp]. Algebraic cycles form the basis for the construction of Motives, and conjectures about Motives depend ultimately on important problems related to algebraic cycles, like the Hodge and the Tata Conjectures.

Shimura Varieties provide interesting, nontrivial instances of Author: V. Srinivas. Hodge cycles, motives, and Shimura varieties | Pierre Deligne, James S. Milne, Arthur Ogus, Kuang-yen Shih | download | B–OK.

Download books for free. Find books. In number theory, a Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient variety of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over a varieties are not algebraic varieties but are families of algebraic varieties.

Shimura curves are the one-dimensional Shimura varieties. Algebraic cycles form the basis for the construction of motives, and conjectures about motives depend ultimately on important problems related to algebraic cycles, such as the Hodge and the Tate conjectures.

Shimura varieties provide interesting, nontrivial instances of these fundamental problems. On the other hand, the motives of Shimura. Hodge Cycles, Motives, and Shimura Varieties 作者: Pierre Deligne / James S. Milne / Arthur Ogus / Kuang-yen Shih 出版社: Springer 出版年: 页数: 定价: USD 装帧: Paperback 丛书: Lecture Notes in Mathematics.

In mathematics, a Hodge structure, named after W. Hodge, is an algebraic structure at the level of linear algebra, similar to the one that Hodge theory gives to the cohomology groups of a smooth and compact Kähler manifold.A mixed Hodge structure is a generalization, defined by Pierre Deligne (), that applies to all complex varieties (even if they are singular and non.

The talks by Shimura, Taniyama, and Weil marked the birth of the theory of complex multiplication for abelian varieties of dimension greater than 1. Proceedings Photo with key Automorphic Forms, Shimura Varieties, and L-functions, Proceedings of a Conference held at the University of Michigan, Ann Arbor, July Mixed Hodge structures associated to geometric variations (in Cycles, Motives, Shimura Varieties, TIFR Mumbai) Varieties with very little transcendental cohomology (published in Motives and Algebraic Cycles, Fields Inst.

) An abelian category of. Shimura varieties which can be embedded into a Siegel modular variety are called of Hodge type. In general, they do not have an interpretation as a moduli space.

In particular, all PEL-Shimura varieties are of Hodge type. For Hodge type varieties, one can still deﬁne the Ekedahl-Oort stratiﬁcation using the stackFile Size: KB.

Toroidal compactifications of integral models of Shimura varieties of Hodge type Article in Annales Scientifiques de l École Normale Supérieure 1(52) November with 29 Reads. The goal of this paper is to show that the cohomology of compact unitary Shimura varieties is concentrated in the middle degree and torsion-free, after localizing at a maximal ideal of the Hecke algebra satisfying a suitable genericity assumption.

Along the way, we establish various foundational results on the geometry of the Hodge-Tate period by: CYCLES, MOTIVES AND SHIMURA VARIETIES TITLES AND ABSTRACTS.

C.S. Rajan Title: Spectrum and Arithmetic Abstract: We will discuss the relationship between spectrum and arithmetic especially in the context of locally symmetric this context we raise some conjectures and give some partial evidence that the arithmetic and the spectrum of such.

Deligne P., Hodge cycles on abelian varieties (notes by ), in Hodge cycles, motives, and Shimura varieties, Lecture Notes in Math. Springer, (), Jan Author: Kazuya Kato.

The third article is a slight expansion of part of: J.S. Milne and Kuang-yen Shih, Sh ura Varieties: conjugates and the action of complex conjugation pp. (Unpublished manuscript, October ). The fourth article is based on a letter from P. De1igne to R. Langlands, dated 10th April,and was revised and completed (by De1igne) in July.

Abstract. This article gives an analog of Taylor’s trick in the context of motives for absolute Hodge cycles. The aforementioned trick, first sketched by TayloAuthor: Claus M. Sorensen. Berechnungen in Excel: Zahlen, Formeln und Funktionen (Ab Excel 97) Angmar, Land of the Witch King (Middle Earth Role Playing/MERP) Hodge Cycles, Motives, and Shimura Varieties (Lecture Notes in Mathematics) (English and French Edition) The Foundations of Celestial Mechanics Murder and the Reasonable Man: Passion and Fear in the Criminal Courtroom.

algebraic cycles: the case of Shimura varieties Sophie Morel and Junecue Suh Septem 1 Introduction First we recall the standard sign conjecture, its origin, statement and signiﬁcance. Let kbe a ﬁeld and ﬁx a Weil cohomology theory H∗ on the category of smooth projective varieties over kwith coefﬁcients in a ﬁeld Fof File Size: KB.

The standard sign conjecture on algebraic cycles: the case of Shimura varieties By Sophie Morel at Princeton, NJ and Junecue Suh at Santa Cruz, CA logical motives and the algebraicity of (Hodge or Tate) cohomology classes, also the following.

Pages from Volume (), Issue 2 by Michael Harris, Nick Shepherd-Barron, Richard TaylorCited by: Book of abstracts Special Cycles on Shimura Varieties and Iwasawa Theory 28/08/ - 01/09/ EPFL, CIB May 6, Acadia Lost By A.m. Hodge English Paperback Book Free Shipping.

M Danny. M Danny Hodge Classic 8x10 Wrestling Photo W Coa History Wwwf. Classical Relaxation. Hodge Cycles, Motives, And Shimura Varieties, Paperback By Deligne, Pierre M Badgley Mischka. This thoroughly revised second edition includes a new third part covering important recent developments, in which the group-theoretic approach to Hodge structures is explained, leading to Mumford–Tate groups and their associated domains, the Mumford–Tate varieties and generalizations of Shimura by: The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne's theorem on absolute Hodge cycles), and variation of.

Although it is wonderful that it has been put online, I think it would make an even greater read if "Hodge Cycles, Motives and Shimura Varieties" by Deligne, Milne, Ogus and Shih would be (re)written in the latex typesetting (well, if I could understand its content.). Review of Abelian l-adic Representations and Elliptic Curves tations in their Advanced Book Classics series.

This circumstance presents a welcome excuse for writing about the subject, and for placing Serre’s book Ogus, A and K-y. Shih. Hodge Cycles, Motives, and Shimura Varieties.

Lecture Notes in Mathematics () [7] Serre, J-P File Size: 78KB. Discover Book Depository's huge selection of Pierre Deligne books online. Free delivery worldwide on over 20 million titles. Hodge Cycles, Motives, and Shimura Varieties.

Pierre Deligne. 18 Oct Paperback. David R. Morrison. 01 Oct Hardback. unavailable. Try AbeBooks. Hodge Cycles, Motives, and Shimura Varieties. Pierre. (See the book Hodge cycles, motives, and Shimura varieties with papers by Deligne, Milne, Ogus, and Shih.) Using a provisional, but acceptable and, so far as I can see, logically impeccable, notion of motive, Deligne proves that the Taniyama group is isomorphic to the "Galois group" for motives of potentially CM-type.

Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in the language of modern algebraic by: The book will certainly be useful to graduate students and researchers entering this beautiful and difficult area of research." (Andrzej Dabrowski, Zentralblatt MATH, Vol.

) "The purpose of this book is twofold: First to establish a p-adic deformation theory of automorphic forms on Shimura varieties; this is recent work of the : Springer-Verlag New York.

modern theory of Shimura varieties1 only really began with the development of the theory of abelian varieties with complex multiplication by Shimura, Taniyama, and Weil in the mids, and with the subsequent proof by Shimura of the existence of canonical mod-els for certain families of Shimura varieties.

In two fundamental articles, Deligne. Lecture 9: The special ber of Shimura varieties of Hodge type. Introduce the local model diagram for the Shimura variety of Hodge type S K, and relate the special ber Sh K of S K to the moduli space of local shtukas.

Describe explicitly (the perfection of) the basic locus Shb K Sh K in terms of a ne Deligne-Lusztig varieties (cf.

[LX17, x File Size: KB.In mathematics, a Shimura variety is an analogue of a modular curve, and is (roughly) a quotient of an Hermitian symmetric space by a congruence subgroup of an algebraic simplest example is the quotient of the upper half-plane by SL 2 (Z).The term Shimura variety applies to the higher-dimensional case, in the case of one-dimensional varieties one speaks of Shimura .Sudan Complete Sheet Of 5m On 10m Surch Inc Varieties Sg78ad Mnh Ascension Set - $ Ascension Set To Including All Listed Perf Varieties.