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Author : Enrico Bombieri
Publisher :
ISBN 13 : 9780521169929
Total Pages : pages
Book Rating : 4.1/5 (699 download)
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:
Author : Enrico Bombieri
Publisher : Cambridge University Press
ISBN 13 : 1139447955
Total Pages : 73 pages
Book Rating : 4.1/5 (394 download)
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.
Author : Enrico Bombieri
Publisher : Cambridge University Press
ISBN 13 : 9780521846158
Total Pages : 668 pages
Book Rating : 4.8/5 (461 download)
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.
Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 3642582273
Total Pages : 307 pages
Book Rating : 4.6/5 (425 download)
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.
Author : Yurij I. Manin
Publisher : Springer
ISBN 13 : 3540480161
Total Pages : 406 pages
Book Rating : 4.5/5 (44 download)
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.
Author : Gerd Fischer
Publisher :
ISBN 13 :
Total Pages : 904 pages
Book Rating : 4.E/5 ( download)
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:
Author : David Fisher
Publisher : University of Chicago Press
ISBN 13 : 022680416X
Total Pages : 573 pages
Book Rating : 4.2/5 (268 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 904 pages
Book Rating : 4.:/5 (89 download)
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:
Author : Kenneth Ribet
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.4/5 (91 download)
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:
Author : I︠U︡. I. Manin
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.3/5 (91 download)
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.
Author : Ichirō Satake
Publisher :
ISBN 13 :
Total Pages : 868 pages
Book Rating : 4.:/5 (321 download)
Download or read book Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto, Japan written by Ichirō Satake and published by . This book was released on 1991 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.K. Lazarsfeld
Publisher : Springer Science & Business Media
ISBN 13 : 9783540225348
Total Pages : 412 pages
Book Rating : 4.2/5 (253 download)
Download or read book Positivity in algebraic geometry 2 written by R.K. Lazarsfeld and published by Springer Science & Business Media. This book was released on 2004-08-24 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume work on "Positivity in Algebraic Geometry" contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover edition as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".
Author : R.K. Lazarsfeld
Publisher : Springer
ISBN 13 : 3642188109
Total Pages : 385 pages
Book Rating : 4.6/5 (421 download)
Download or read book Positivity in Algebraic Geometry II written by R.K. Lazarsfeld and published by Springer. This book was released on 2017-07-25 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two volume work containing a contemporary account on "Positivity in Algebraic Geometry". Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete". A good deal of the material has not previously appeared in book form. Volume II is more at the research level and somewhat more specialized than Volume I. Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. Contains many concrete examples, applications, and pointers to further developments
Author : Sirakov Boyan
Publisher : World Scientific
ISBN 13 : 9813272899
Total Pages : 5396 pages
Book Rating : 4.8/5 (132 download)
Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan and published by World Scientific. This book was released on 2019-02-27 with total page 5396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Author :
Publisher :
ISBN 13 :
Total Pages : 844 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 1999 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yu.I. Manin
Publisher : Springer Science & Business Media
ISBN 13 : 1475743858
Total Pages : 296 pages
Book Rating : 4.4/5 (757 download)
Download or read book A Course in Mathematical Logic written by Yu.I. Manin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. This book is above all addressed to mathematicians. It is intended to be a textbook of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last ten or fifteen years. These include: the independence of the continuum hypothe sis, the Diophantine nature of enumerable sets, the impossibility of finding an algorithmic solution for one or two old problems. All the necessary preliminary material, including predicate logic and the fundamentals of recursive function theory, is presented systematically and with complete proofs. We only assume that the reader is familiar with "naive" set theoretic arguments. In this book mathematical logic is presented both as a part of mathe matics and as the result of its self-perception. Thus, the substance of the book consists of difficult proofs of subtle theorems, and the spirit of the book consists of attempts to explain what these theorems say about the mathematical way of thought. Foundational problems are for the most part passed over in silence. Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. 2. The first two chapters are devoted to predicate logic. The presenta tion here is fairly standard, except that semantics occupies a very domi nant position, truth is introduced before deducibility, and models of speech in formal languages precede the systematic study of syntax.
Author : A. Baker
Publisher : Cambridge University Press
ISBN 13 : 9780521882682
Total Pages : 208 pages
Book Rating : 4.8/5 (826 download)
Download or read book Logarithmic Forms and Diophantine Geometry written by A. Baker and published by Cambridge University Press. This book was released on 2008-01-17 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern perspective. The remainder assumes some background in Lie algebras and group varieties, and covers, in some instances for the first time in book form, several advanced topics. The final chapter summarises other aspects of Diophantine geometry including hypergeometric theory and the André-Oort conjecture. A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry.
