Heights in Diophantine Geometry ICM Edition

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Publisher :
ISBN 13 : 9780521169929
Total Pages : pages
Book Rating : 4.25/5 ( download)

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Book Synopsis Heights in Diophantine Geometry ICM Edition by : Enrico Bombieri

Download or read book Heights in Diophantine Geometry ICM Edition written by Enrico Bombieri and published by . This book was released on 2010-07-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Heights in Diophantine Geometry

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Publisher : Cambridge University Press
ISBN 13 : 1139447955
Total Pages : 73 pages
Book Rating : 4.59/5 ( download)

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Book Synopsis Heights in Diophantine Geometry by : Enrico Bombieri

Download or read book Heights in Diophantine Geometry written by Enrico Bombieri and published by Cambridge University Press. This book was released on 2007-09-06 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diophantine geometry has been studied by number theorists for thousands of years, this monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The treatment is largely self-contained, with proofs given in full detail. Many results appear here for the first time.

Heights in Diophantine Geometry

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Publisher : Cambridge University Press
ISBN 13 : 9780521846158
Total Pages : 668 pages
Book Rating : 4.53/5 ( download)

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Book Synopsis Heights in Diophantine Geometry by : Enrico Bombieri

Download or read book Heights in Diophantine Geometry written by Enrico Bombieri and published by Cambridge University Press. This book was released on 2006-01-19 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a clear path through the subject for graduate students and researchers. They have re-examined many results and much of the literature, and provide a thorough account of several topics at a level not seen before in book form. The treatment is largely self-contained, with proofs given in full detail.

Number Theory III

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Publisher : Springer Science & Business Media
ISBN 13 : 3642582273
Total Pages : 307 pages
Book Rating : 4.71/5 ( download)

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Book Synopsis Number Theory III by : Serge Lang

Download or read book Number Theory III written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry. I said yes, and here is the volume. By definition, diophantine problems concern the solutions of equations in integers, or rational numbers, or various generalizations, such as finitely generated rings over Z or finitely generated fields over Q. The word Geometry is tacked on to suggest geometric methods. This means that the present volume is not elementary. For a survey of some basic problems with a much more elementary approach, see [La 9Oc]. The field of diophantine geometry is now moving quite rapidly. Out standing conjectures ranging from decades back are being proved. I have tried to give the book some sort of coherence and permanence by em phasizing structural conjectures as much as results, so that one has a clear picture of the field. On the whole, I omit proofs, according to the boundary conditions of the encyclopedia. On some occasions I do give some ideas for the proofs when these are especially important. In any case, a lengthy bibliography refers to papers and books where proofs may be found. I have also followed Shafarevich's suggestion to give examples, and I have especially chosen these examples which show how some classical problems do or do not get solved by contemporary in sights. Fermat's last theorem occupies an intermediate position. Al though it is not proved, it is not an isolated problem any more.

K-Theory, Arithmetic and Geometry

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Publisher : Springer
ISBN 13 : 3540480161
Total Pages : 406 pages
Book Rating : 4.67/5 ( download)

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Book Synopsis K-Theory, Arithmetic and Geometry by : Yurij I. Manin

Download or read book K-Theory, Arithmetic and Geometry written by Yurij I. Manin and published by Springer. This book was released on 2006-11-15 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras.

Proceedings of the International Congress of Mathematicians: Invited lectures

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ISBN 13 :
Total Pages : 904 pages
Book Rating : 4.40/5 ( download)

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Book Synopsis Proceedings of the International Congress of Mathematicians: Invited lectures by : Gerd Fischer

Download or read book Proceedings of the International Congress of Mathematicians: Invited lectures written by Gerd Fischer and published by . This book was released on 1998 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics, Geometry, Number Theory

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Publisher : University of Chicago Press
ISBN 13 : 022680416X
Total Pages : 573 pages
Book Rating : 4.63/5 ( download)

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Book Synopsis Dynamics, Geometry, Number Theory by : David Fisher

Download or read book Dynamics, Geometry, Number Theory written by David Fisher and published by University of Chicago Press. This book was released on 2022-02-07 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: This definitive synthesis of mathematician Gregory Margulis’s research brings together leading experts to cover the breadth and diversity of disciplines Margulis’s work touches upon. This edited collection highlights the foundations and evolution of research by widely influential Fields Medalist Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics; his ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. Dynamics, Geometry, Number Theory introduces these areas, their development, their use in current research, and the connections between them. Divided into four broad sections—“Arithmeticity, Superrigidity, Normal Subgroups”; “Discrete Subgroups”; “Expanders, Representations, Spectral Theory”; and “Homogeneous Dynamics”—the chapters have all been written by the foremost experts on each topic with a view to making them accessible both to graduate students and to experts in other parts of mathematics. This was no simple feat: Margulis’s work stands out in part because of its depth, but also because it brings together ideas from different areas of mathematics. Few can be experts in all of these fields, and this diversity of ideas can make it challenging to enter Margulis’s area of research. Dynamics, Geometry, Number Theory provides one remedy to that challenge.

Atti Del ... Congresso Internazionale Dei Matematici ...

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Publisher :
ISBN 13 :
Total Pages : 904 pages
Book Rating : 4.31/5 ( download)

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Book Synopsis Atti Del ... Congresso Internazionale Dei Matematici ... by :

Download or read book Atti Del ... Congresso Internazionale Dei Matematici ... written by and published by . This book was released on 1998 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Trends in Arithmetical Algebraic Geometry

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Publisher :
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:

K-Theory, Arithmetic and Geometry

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Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.39/5 ( download)

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Book Synopsis K-Theory, Arithmetic and Geometry by : I︠U︡. I. Manin

Download or read book K-Theory, Arithmetic and Geometry written by I︠U︡. I. Manin and published by Lecture Notes in Mathematics. This book was released on 1987-11-04 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras.