4 edition of **Hodge Theory and Complex Algebraic Geometry II (Cambridge Studies in Advanced Mathematics)** found in the catalog.

- 118 Want to read
- 21 Currently reading

Published
**December 31, 2007** by Cambridge University Press .

Written in English

- Algebraic geometry,
- Mathematics / Applied

**Edition Notes**

Contributions | Leila Schneps (Translator) |

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

Format | Paperback |

Number of Pages | 364 |

ID Numbers | |

Open Library | OL9327287M |

ISBN 10 | 0521718023 |

ISBN 10 | 9780521718028 |

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The last part deals with the relationships between Hodge theory and algebraic cycles. The text is complemented by exercises offering useful results in Hodge Theory and Complex Algebraic Geometry II book algebraic geometry.

Also available: Volume I Hardback $ CCited by: Hodge Theory and Complex Algebraic Geometry II: Volume 2 (Cambridge Studies in Advanced Mathematics Book 77) - Kindle edition by Voisin, Claire, Schneps, Leila.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Hodge Theory and Complex Algebraic Geometry II: Volume 2 5/5(1). The last part of the book is devoted to the relationships between Hodge theory and algebraic cycles.

The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded.

The text is complemented by exercises giving useful results in complex algebraic geometry. The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly, Nori's connectivity theorem, which generalizes the above/5(5).

Hodge theory and complex algebraic geometry / Claire Voisin. – (Cambridge studies in advanced mathematics) Includes bibliographical references and index. Hodge Theory and Complex Algebraic Geometry II book ISBN 0 1 1.

Hodge theory. Geometry, Algebraic. Title. Series. QAV65 5 – dc21 ISBN 0 1 hardbackCited by: - Buy Hodge Theory and Complex Algebraic Geometry II: Volume 2 (Cambridge Studies in Advanced Mathematics) book online at best prices in India on Read Hodge Theory and Complex Algebraic Geometry II: Volume 2 (Cambridge Studies in Advanced Mathematics) book reviews & author details and more at Free delivery on 5/5(1).

Hodge Theory and Complex Algebraic Geometry II: Volume 2. by Claire Voisin. Cambridge Studies in Advanced Mathematics (Book 77) Thanks for Sharing. You submitted the following rating and review. We'll publish them on our site once we've reviewed : Cambridge University Press.

Get this from a library. Hodge theory and complex algebraic geometry II. [Claire Voisin; Leila Schneps] -- The second volume of this modern, self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between.

Search for "Algebraic Geometry Hodge Theory and Complex Algebraic Geometry II book Books in the Search Form now, Download or Read Books for FREE, just by Creating an Account to enter our library.

More than 1 Million Books Hodge Theory and Complex Algebraic Geometry II book Pdf, ePub, Mobi, Tuebl and Audiobook formats. Hourly Update. The ﬁrst volume of this book was devoted to the study of the cohomology - Hodge Theory and Complex Algebraic Geometry II Claire Voisin Excerpt - Hodge Theory and Complex Algebraic Geometry II Claire Voisin Excerpt More information.

Buy Hodge Theory and Complex Algebraic Geometry, I: v. 1 Hodge Theory and Complex Algebraic Geometry II book Studies in Advanced Mathematics) 1 by Voisin, Claire (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible orders.5/5(3). Hodge Theory and Complex Algebraic Geometry II - by Claire Voisin July Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. By Claire Voisin, translated by Leila Schneps: pp., £ (US$), isbn 0‐‐‐0 (Cambridge University Press, ).Cited by: : Hodge Theory and Complex Algebraic Geometry II: Volume 2 (Cambridge Studies in Advanced Mathematics) (v.

2) () by Voisin, Claire and a great selection of similar New, Used and Collectible Books available now at great prices/5(4). I wish to learn Complex Geometry and am aware of the following books: Huybretchs, Voisin, Griffths-Harris, R O Wells, Demailly. But I am not sure which one or two to choose.

I am interested in learning complex analytic & complex algberaic geometry both. ON HODGE THEORY AND TOPOLOGY: Voisin - Hodge Theory and Complex Algebraic Geometry vols.

I and II. The first volume can serve almost as an introduction to complex geometry and the second to its topology. They are becoming more and more the standard reference on these topics, fitting nicely between abstract algebraic geometry and complex.

The last part deals with the relationships between Hodge theory and algebraic cycles. The text is complemented by exercises offering useful results in complex algebraic geometry. Also available: Volume I Hardback $ CPrice: $ Some backgroundon mixedHodge theory The global invariant cycles theorem Exercises II Variations of Hodge Structure 5 Transversality andApplications Complexes associatedto IVHS The de Rham complex of a ﬂat bundle Transversality Construction of the complexes mathcalK l,r File Size: KB.

- Hodge Theory and Complex Algebraic Geometry II Claire Voisin Index More information. Index Deligne invariant cycles theorem, Hodge Theory and Complex Algebraic Geometry II Claire Voisin Index More information.

Index intersection (cont.) locally,universal,of cycles, 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/5(6).

There are too many sources of different flavors to list. If you want to start learning some differential geometry, Goldberg's Curvature and Homology is a cheap Dover book with all sorts of results with the interplay of Hodge theory and Riemannian and complex geometry. The second volume of this self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between Read more.

Free 2-day shipping. Buy Hodge Theory and Complex Algebraic Geometry II: Volume 2 at nd: Claire Voisin; Leila Schneps. If I recall correctly, a fairly readable and straightforward introduction to the basics of Hodge theory (in the differential-geometric setting) can be found in Chapter 6 aptly entitled "Hodge theorem" of the book F.

Warner, Foundations of Differentiable Manifolds and Lie Groups. The last part deals with the relationships between Hodge theory and algebraic cycles. The text is complemented by exercises offering useful results in complex algebraic geometry.

Also available: Volume I Hardback $ C. The theory of schemes is presented in the first part of this book (Algebraic Geometry 1: From Algebraic Varieties to Schemes, AMS,Translations of Mathematical Monographs, Volume ). In the present book, the author turns to the theory of sheaves and their cohomology.

Hodge Theory and Complex Algebraic Geometry II: Volume 2. por Claire Voisin. Cambridge Studies in Advanced Mathematics (Book 77) ¡Gracias por compartir.

Has enviado la siguiente calificación y reseña. Lo publicaremos en nuestro sitio después de haberla : Cambridge University Press.

Course meets: Tuesdays and ThursdaysEast Hall Text: Hodge Theory and Complex Algebraic Geometry I, Claire Voisin, ISBN I will be following the text fairly loosely.

In particular, I want to make sure that you come out of this course with a fair amount of experience working with sheaves, and with some basic examples of complex algebraic.

Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P.

Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry. in Hodge theory with more emphasis on periods and multiple integrals.

We aim to present materials which are not covered in J. Lewis’s book A survey of the Hodge conjecture and C. Voisin’s books Hodge theory and complex algebraic geometry, I, II, therefore, the reader will not ﬁnd in this book some of the fundamental theoremsFile Size: 3MB.

Claire Voisin has 13 books on Goodreads with 47 ratings. Claire Voisin’s most popular book is Hodge Theory and Complex Algebraic Geometry I: Volume 1.

INTRODUCTION TO COMPLEX ALGEBRAIC GEOMETRY/HODGE THEORY 3 3. Hodge decomposition Let us return brie y to the case of X a smooth projective algebraic curve of genus g. We want to understand the basic idea behind the proof of theorem A Cform is an expression given locally by f(x;y)dx+ g(x;y)dy, where x;y.

The relationship between Hodge theory and geometry, especially for the study of algebraic cycles on (complex) manifolds, is a rich, deep and increasingly active field. As is well known, one the main conjectures guiding this research is the (generalized) Hodge conjecture on the realization of every rational Hodge (cohomology) class as an.

Book III discusses complex manifolds and their relation with algebraic varieties, Kähler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''. 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.

Books: [Note - I have placed a copy of each of the books set apart from the text below on reserve.] Claire Voisin, Hodge theory and complex algebraic geometry (tr. Schneps), v. 1 & 2; Cambridge is the recommended textbook, because it is modern and clearly written and contains many of the topics I'll discuss.

Another good book which covers the subject generally but in a. 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. The author then proves the Kaehler. This is a modern introduction to Kaehlerian geometry and Hodge structure.

Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry).

The book culminates with the Hodge decomposition theorem. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch.

The text is complemented by exercises which provide useful results in complex algebraic geometry/10(17). The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties.

The main results are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly, Nori's connectivity theorem, which generalizes the above.

; download hodge theory and complex algebraic geometry use now pdf into Ruby-land without taking that order. ready eligible strictly, download hodge theory and complex algebraic in Ruby is an idea. The readable download signals how those studies are .Book III discusses complex manifolds and their relation with algebraic varieties, Kähler geometry and Hodge theory.

The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''/5(2).Sir William Vallance Douglas Hodge FRS Ebook (/ h ɒ dʒ /; 17 June – 7 July ebook was a British mathematician, specifically a geometer.

His discovery of far-reaching topological relations between algebraic geometry and differential geometry—an area now called Hodge theory and pertaining more generally to Kähler manifolds—has been a major influence on subsequent Born: 17 JuneEdinburgh, UK.