Current Trends in Arithmetical Algebraic Geometry

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Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.51/5 ( download)

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Book Synopsis Current Trends in Arithmetical Algebraic Geometry by : Kenneth Ribet

Download or read book Current Trends in Arithmetical Algebraic Geometry written by Kenneth Ribet and published by . This book was released on 1987 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Trends in Arithmetical Algebraic Geometry

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.06/5 ( download)

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Book Synopsis Current Trends in Arithmetical Algebraic Geometry by : Kenneth Ribet

Download or read book Current Trends in Arithmetical Algebraic Geometry written by Kenneth Ribet and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Arithmetic Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821886915
Total Pages : 588 pages
Book Rating : 4.16/5 ( download)

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Book Synopsis Arithmetic Algebraic Geometry by : Brian David Conrad

Download or read book Arithmetic Algebraic Geometry written by Brian David Conrad and published by American Mathematical Soc.. This book was released on with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The choice of lecture topics was heavily influenced by the recent spectacular work of Wiles on modular elliptic curves and Fermat's Last Theorem. The main emphasis of the articles in the volume is on elliptic curves, Galois representations, and modular forms. One lecture series offers an introduction to these objects. The others discuss selected recent results, current research, and open problems and conjectures. The book would be a suitable text for an advanced graduate topics course in arithmetic algebraic geometry.

Arithmetic Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 1461204577
Total Pages : 450 pages
Book Rating : 4.72/5 ( download)

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Book Synopsis Arithmetic Algebraic Geometry by : G., van der Geer

Download or read book Arithmetic Algebraic Geometry written by G., van der Geer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection.

Contemporary Trends in Algebraic Geometry and Algebraic Topology

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Publisher : World Scientific
ISBN 13 : 9810249543
Total Pages : 276 pages
Book Rating : 4.40/5 ( download)

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Book Synopsis Contemporary Trends in Algebraic Geometry and Algebraic Topology by : Shiing-Shen Chern

Download or read book Contemporary Trends in Algebraic Geometry and Algebraic Topology written by Shiing-Shen Chern and published by World Scientific. This book was released on 2002 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen's interated integrals, algebraic fiber spaces, and others.

Recent Progress in Arithmetic and Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834010
Total Pages : 186 pages
Book Rating : 4.15/5 ( download)

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Book Synopsis Recent Progress in Arithmetic and Algebraic Geometry by : Yasuyuki Kachi

Download or read book Recent Progress in Arithmetic and Algebraic Geometry written by Yasuyuki Kachi and published by American Mathematical Soc.. This book was released on 2005 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume resulted from the John H. Barrett Memorial Lecture Series held at the University of Tennessee (Knoxville). The articles reflect recent developments in algebraic geometry. It is suitable for graduate students and researchers interested in algebra and algebraic geometry.

Galois Representations in Arithmetic Algebraic Geometry

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Publisher : Cambridge University Press
ISBN 13 : 0521644194
Total Pages : 506 pages
Book Rating : 4.98/5 ( download)

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Book Synopsis Galois Representations in Arithmetic Algebraic Geometry by : A. J. Scholl

Download or read book Galois Representations in Arithmetic Algebraic Geometry written by A. J. Scholl and published by Cambridge University Press. This book was released on 1998-11-26 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.

Current Trends in Arithmetical Algebraic Geometry

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ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.56/5 ( download)

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Book Synopsis Current Trends in Arithmetical Algebraic Geometry by : Kenneth Ribet

Download or read book Current Trends in Arithmetical Algebraic Geometry written by Kenneth Ribet and published by . This book was released on 1987 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Trends in Number Theory

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Publisher : Springer
ISBN 13 : 9386279096
Total Pages : 280 pages
Book Rating : 4.95/5 ( download)

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Book Synopsis Current Trends in Number Theory by : S.D. Adhikari

Download or read book Current Trends in Number Theory written by S.D. Adhikari and published by Springer. This book was released on 2002-01-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.

Conjectures in Arithmetic Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 3663095053
Total Pages : 247 pages
Book Rating : 4.57/5 ( download)

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Book Synopsis Conjectures in Arithmetic Algebraic Geometry by : Wilfred W. J. Hulsbergen

Download or read book Conjectures in Arithmetic Algebraic Geometry written by Wilfred W. J. Hulsbergen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the early 1980's, stimulated by work of Bloch and Deligne, Beilinson stated some intriguing conjectures on special values of L-functions of algebraic varieties defined over number fields. Roughly speaking these special values are determinants of higher regulator maps relating the higher algebraic K-groups of the variety to its cohomology. In this respect, higher algebraic K-theory is believed to provide a universal, motivic cohomology theory and the regulator maps are determined by Chern characters from higher algebraic K-theory to any other suitable cohomology theory. Also, Beilinson stated a generalized Hodge conjecture. This book provides an introduction to and a survey of Beilinson's conjectures and an introduction to Jannsen's work with respect to the Hodge and Tate conjectures. It addresses mathematicians with some knowledge of algebraic number theory, elliptic curves and algebraic K-theory.