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Saturday, July 18, 2020 | History

5 edition of Introduction to Hodge theory found in the catalog.

Introduction to Hodge theory

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  • 14 Currently reading

Published by American Mathematical Society, Société Mathématique de France in Providence, R.I .
Written in English

    Subjects:
  • Hodge theory

  • Edition Notes

    Includes bibliographical references

    StatementJosé Bertin ... [et al.] ; translated by James Lewis, Chris Peters
    SeriesSMF/AMS texts and monographs -- v. 8, Panoramas et synthèses -- no. 3, 1996, Panoramas et synthèses -- 3
    ContributionsBertin, José
    Classifications
    LC ClassificationsQA564 .I5913 2002
    The Physical Object
    Paginationix, 232 p. ;
    Number of Pages232
    ID Numbers
    Open LibraryOL15375906M
    ISBN 100821820400
    LC Control Number2002019611

      Abstract: Lecture notes from the Concentrated Graduate Course preceding the Workshop on Hodge Theory in String Theory at the Fields Institute in Toronto, November , Comments: 41 pages, 1 figure, 1 table. This book, loosely based on the Augsburg, Germany workshop "From tQFT to tt* and Integrability", is the perfect introduction to the range of mathematical topics relevant to tt*-geometry.

    Hodge theory states that if X is compact, [13], which necessitates the introduction of the logarith-mic de Rham complex on a projective compactiflcation of X with normal crossing divisor at inflnity. Example 2 If X is a compact complex surface, the spectral sequence above degen-.   The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry.

      This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading . MATH INTRODUCTION TO p-ADIC HODGE THEORY LECTURES BY SERIN HONG; NOTES BY ALEKSANDER HORAWA These are notes from Math taught by Serin Hong in Winter , LATEX’ed by Aleksander Horawa (who is the only person responsible for any mistakes that may be .


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Introduction to Hodge theory Download PDF EPUB FB2

Hodge theory originated as an application of harmonic theory to the study of the geometry of compact complex manifolds. The ideas have proved to be quite powerful, leading to fundamentally important results throughout algebraic geometry.

This book consists of expositions of various aspects of modern Hodge by: Hodge theory originated as an application of harmonic theory to the study of the geometry of compact complex manifolds. The ideas have proved to be quite powerful, leading to fundamentally important results throughout algebraic geometry.

This book consists of expositions of various aspects of modern Hodge theory. American Mathematical Soc., - Mathematics- pages 0Reviews Hodge theory is a powerful tool in analytic and algebraic geometry.

This book consists of expositions of aspects of modern Hodge. Summary: Hodge theory originated as an application of harmonic theory to the study of the geometry of compact complex manifolds. This book consists of expositions of various aspects of modern Hodge theory.

This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps.

Hodge Theory This book provides a comprehensive introduction to Hodge theory, written by several authors. It is mainly aimed to graduate students but it can also be very useful to lecturers and researchers in Algebraic Geometry. It is based on lectures delivered at the Summer School on Hodge Theory at the ICTP in Trieste, Italy.

This book provides a comprehensive and up-to-date introduction to Hodge theory--one of the central and most vibrant areas of contemporary mathematics--from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps.

INTRODUCTION TO HODGE THEORY DANIEL MATEI SNSB Abstract. This course will present the basics of Hodge theory aiming to familiarize students with an important technique in complex and algebraic geometry. We start by reviewing complex manifolds, Kahler manifolds and. In mathematics, Hodge theory, named after W.

Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential key observation is that, given a Riemannian metric on M, every cohomology class has a canonical representative, a differential form which vanishes under the Laplacian operator of the metric.

Hodge theory is a powerful tool in analytic and algebraic geometry. This book consists of expositions of aspects of modern Hodge theory, with the purpose of providing the nonexpert reader with a clear idea of the current state of the subject.

Voisin's book is quite (but not always) self-contained and well-written. For the supplementary references, you may use the first chapters of Griffiths-Harris "principles of algebraic geometry" which can help you to understand and motivate the complex backgrounds of complex Hodge theory.

Book Description This is a completely self-contained modern introduction to Kaehlerian geometry and Hodge structure. The author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. Aimed at students, the text is complemented by exercises which provide useful results in complex algebraic s: 4.

Hodge theory is a powerful tool in analytic and algebraic geometry. This book consists of expositions of aspects of modern Hodge theory, with the Our Stores Are OpenBook AnnexMembershipEducatorsGift CardsStores & EventsHelp AllBooksebooksNOOKTextbooksNewsstandTeensKidsToysGames & CollectiblesGift, Home & OfficeMovies & TVMusicBook AnnexPrice: $ acccounts of basic Hodge theory can be found in the books of Griffiths-Harris [GH], Warner [Wa] and Wells [W].

However, we will depart slightly from these treatments by outling the heat equation method of Milgram and Rosenbloom [MR]. This is an elegant and comparatively elementary approach to the Hodge. Hodge structures; including the canonical extension of a vector bundle with connection, Schmid’s limiting mixed Hodge structure and Steenbrink’s work in the geometric setting.

Finally, we give an outlook about Hodge theory in the Gross-Siebert program. Introduction At the time of writing this survey, Hodge theory stands as one of the most.

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in.

The main objective of the present book is to give an introduction to Hodge theory and its main conjecture, the so-called Hodge conjecture. We aim to explore the ori-gins of Hodge theory much before the introduction of Hodge decomposition of the de Rham cohomology of smooth projective varieties.

This is namely the study of. Chapter One. Introduction to Kähler Manifolds; Chapter Two. From Sheaf Cohomology to the Algebraic de Rham Theorem; Chapter Three. Mixed Hodge Structures; Chapter Four.

Period Domains and Period Mappings; Chapter Five. The Hodge Theory of Maps; Chapter Six The Hodge Theory of Maps Lectures 4–5 by Mark Andrea de Cataldo; Chapter Seven.

Introduction 3 These lectures are centered around the subjects of Hodge theory and representation subjects of Hodge theory and representation theory are highly developed and extensive include several expository papers or books where a more complete set of references to the material in these lectures can be found.

Lectures 3, 4, 8 and 9. In mathematics, p-adic Hodge theory is a theory that provides a way to classify and study p-adic Galois representations of characteristic 0 local fields with residual characteristic p (such as Q p).The theory has its beginnings in Jean-Pierre Serre and John Tate's study of Tate modules of abelian varieties and the notion of Hodge–Tate –Tate representations are related.

This book provides a comprehensive and up-to-date introduction to Hodge theory, one of the central and most vibrant areas of contemporary mathematics. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps.In algebraic geometry, motives (or sometimes motifs, following French usage) is a theory proposed by Alexander Grothendieck in the s to unify the vast array of similarly behaved cohomology theories such as singular cohomology, de Rham cohomology, etale cohomology, and crystalline ophically, a 'motif' is the 'cohomology essence' of a variety.

Buy Introduction to Hodge theory (Publications of the Scuola Normale Superiore) on FREE SHIPPING on qualified orders Introduction to Hodge theory (Publications of the Scuola Normale Superiore): Clemens, Herbert: : BooksAuthor: Herbert Clemens.