Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106

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Publisher : Princeton University Press
ISBN 13 : 140088165X
Total Pages : 328 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 by : Phillip A. Griffiths

Download or read book Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 written by Phillip A. Griffiths and published by Princeton University Press. This book was released on 2016-03-02 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106, will be forthcoming.

Topics in Transcendental Algebraic Geometry

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Publisher :
ISBN 13 : 9780608076393
Total Pages : 325 pages
Book Rating : 4.0/5 (763 download)

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Book Synopsis Topics in Transcendental Algebraic Geometry by : Phillip Griffiths

Download or read book Topics in Transcendental Algebraic Geometry written by Phillip Griffiths and published by . This book was released on 1984 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Survey of the Hodge Conjecture

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821805681
Total Pages : 386 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Survey of the Hodge Conjecture by : James Dominic Lewis

Download or read book A Survey of the Hodge Conjecture written by James Dominic Lewis and published by American Mathematical Soc.. This book was released on 1999 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to a topic of central interest in transcendental algebraic geometry: the Hodge conjecture. Consisting of 15 lectures plus addenda and appendices, the volume is based on a series of lectures delivered by Professor Lewis at the Centre de Recherches Mathematiques (CRM). The book is a self-contained presentation, completely devoted to the Hodge conjecture and related topics. It includes many examples, and most results are completely proven or sketched. The motivation behind many of the results and background material is provided. This comprehensive approach to the book gives it a 'user-friendly' style. Readers need not search elsewhere for various results. The book is suitable for use as a text for a topics course in algebraic geometry. It includes an appendix by B. Brent Gordon.

Transcendental Methods in Algebraic Geometry

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Publisher : Springer
ISBN 13 : 3540496327
Total Pages : 266 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Transcendental Methods in Algebraic Geometry by : Jean-Pierre Demailly

Download or read book Transcendental Methods in Algebraic Geometry written by Jean-Pierre Demailly and published by Springer. This book was released on 2006-11-14 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transcendence in Algebra, Combinatorics, Geometry and Number Theory

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Publisher : Springer Nature
ISBN 13 : 3030843041
Total Pages : 544 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Transcendence in Algebra, Combinatorics, Geometry and Number Theory by : Alin Bostan

Download or read book Transcendence in Algebra, Combinatorics, Geometry and Number Theory written by Alin Bostan and published by Springer Nature. This book was released on 2021-11-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.

The Arithmetic and Geometry of Algebraic Cycles

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792361947
Total Pages : 652 pages
Book Rating : 4.3/5 (619 download)

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Book Synopsis The Arithmetic and Geometry of Algebraic Cycles by : B. Brent Gordon

Download or read book The Arithmetic and Geometry of Algebraic Cycles written by B. Brent Gordon and published by Springer Science & Business Media. This book was released on 2000-02-29 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties.

Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 1475738498
Total Pages : 511 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Algebraic Geometry by : Robin Hartshorne

Download or read book Algebraic Geometry written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Topics in the Theory of Algebraic Function Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645152
Total Pages : 658 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Topics in the Theory of Algebraic Function Fields by : Gabriel Daniel Villa Salvador

Download or read book Topics in the Theory of Algebraic Function Fields written by Gabriel Daniel Villa Salvador and published by Springer Science & Business Media. This book was released on 2007-10-10 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers. The examination explains both the similarities and fundamental differences between function fields and number fields, including many exercises and examples to enhance understanding and motivate further study. The only prerequisites are a basic knowledge of field theory, complex analysis, and some commutative algebra.

Algebraic Geometry

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 082181480X
Total Pages : 513 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Geometry by : Spencer Bloch

Download or read book Algebraic Geometry written by Spencer Bloch and published by American Mathematical Soc.. This book was released on 1987 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Survey of the Hodge Conjecture

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Publisher :
ISBN 13 : 9781470438562
Total Pages : 368 pages
Book Rating : 4.4/5 (385 download)

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Book Synopsis A Survey of the Hodge Conjecture by : James Dominic Lewis

Download or read book A Survey of the Hodge Conjecture written by James Dominic Lewis and published by . This book was released on 1999 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to a topic of central interest in transcendental algebraic geometry: the Hodge conjecture. Consisting of 15 lectures plus addenda and appendices, the volume is based on a series of lectures delivered by Professor Lewis at the Centre de Recherches Mathématiques (CRM). The book is a self-contained presentation, completely devoted to the Hodge conjecture and related topics. It includes many examples, and most results are completely proven or sketched. The motivation behind many of the results and background material is provided. This comprehensive approach to th.

Foundations of Algebraic Geometry. --; 29

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Author :
Publisher : Hassell Street Press
ISBN 13 : 9781015107670
Total Pages : 392 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis Foundations of Algebraic Geometry. --; 29 by : André 1906- Weil

Download or read book Foundations of Algebraic Geometry. --; 29 written by André 1906- Weil and published by Hassell Street Press. This book was released on 2021-09-10 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Hodge Theory and Complex Algebraic Geometry I: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 1139437690
Total Pages : 336 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Hodge Theory and Complex Algebraic Geometry I: Volume 1 by : Claire Voisin

Download or read book Hodge Theory and Complex Algebraic Geometry I: Volume 1 written by Claire Voisin and published by Cambridge University Press. This book was released on 2002-12-05 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. 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.

Koszul Cohomology and Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849646
Total Pages : 138 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Koszul Cohomology and Algebraic Geometry by : Marian Aprodu

Download or read book Koszul Cohomology and Algebraic Geometry written by Marian Aprodu and published by American Mathematical Soc.. This book was released on 2010 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The systematic use of Koszul cohomology computations in algebraic geometry can be traced back to the foundational work of Mark Green in the 1980s. Green connected classical results concerning the ideal of a projective variety with vanishing theorems for Koszul cohomology. Green and Lazarsfeld also stated two conjectures that relate the Koszul cohomology of algebraic curves with the existence of special divisors on the curve. These conjectures became an important guideline for future research. In the intervening years, there has been a growing interaction between Koszul cohomology and algebraic geometry. Green and Voisin applied Koszul cohomology to a number of Hodge-theoretic problems, with remarkable success. More recently, Voisin achieved a breakthrough by proving Green's conjecture for general curves; soon afterwards, the Green-Lazarsfeld conjecture for general curves was proved as well. This book is primarily concerned with applications of Koszul cohomology to algebraic geometry, with an emphasis on syzygies of complex projective curves. The authors' main goal is to present Voisin's proof of the generic Green conjecture, and subsequent refinements. They discuss the geometric aspects of the theory and a number of concrete applications of Koszul cohomology to problems in algebraic geometry, including applications to Hodge theory and to the geometry of the moduli space of curves.

Hodge Theory and Complex Algebraic Geometry II: Volume 2

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Publisher : Cambridge University Press
ISBN 13 : 1139437704
Total Pages : 363 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Hodge Theory and Complex Algebraic Geometry II: Volume 2 by : Claire Voisin

Download or read book Hodge Theory and Complex Algebraic Geometry II: Volume 2 written by Claire Voisin and published by Cambridge University Press. This book was released on 2003-07-03 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part 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. 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. It will be welcomed by researchers in both algebraic and differential geometry.

Algebraic Geometry III

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Publisher : Springer Science & Business Media
ISBN 13 : 3662036622
Total Pages : 275 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Algebraic Geometry III by : A.N. Parshin

Download or read book Algebraic Geometry III written by A.N. Parshin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part EMS volume provides a succinct summary of complex algebraic geometry, coupled with a lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion to the older classics on the subject.

Periods And Special Functions In Transcendence

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Publisher : World Scientific
ISBN 13 : 1786342960
Total Pages : 228 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Periods And Special Functions In Transcendence by : Tretkoff Paula B

Download or read book Periods And Special Functions In Transcendence written by Tretkoff Paula B and published by World Scientific. This book was released on 2017-05-04 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to some central results in transcendental number theory with application to periods and special values of modular and hypergeometric functions. It also includes related results on Calabi–Yau manifolds. Most of the material is based on the author's own research and appears for the first time in book form. It is presented with minimal of technical language and no background in number theory is needed. In addition, except the last chapter, all chapters include exercises suitable for graduate students. It is a nice book for graduate students and researchers interested in transcendence.

Selected Works of Phillip A. Griffiths with Commentary

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821820889
Total Pages : 596 pages
Book Rating : 4.8/5 (28 download)

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Book Synopsis Selected Works of Phillip A. Griffiths with Commentary by : Phillip Griffiths

Download or read book Selected Works of Phillip A. Griffiths with Commentary written by Phillip Griffiths and published by American Mathematical Soc.. This book was released on 2003 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.