Selected Papers on Number Theory and Algebraic Geometry PDF Download
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Author: Katsumi Nomizu
Publisher: American Mathematical Soc.
ISBN: 9780821804452
Category : Geometry, Algebraic
Languages : en
Pages : 108
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Book Description
This book presents papers that originally appeared in the Japanese journal Sugaku from the Mathematical Society of Japan. The papers explore the relationship between number theory and algebraic geometry.
Author: Katsumi Nomizu
Publisher: American Mathematical Soc.
ISBN: 9780821804452
Category : Geometry, Algebraic
Languages : en
Pages : 108
Get Book Here
Book Description
This book presents papers that originally appeared in the Japanese journal Sugaku from the Mathematical Society of Japan. The papers explore the relationship between number theory and algebraic geometry.
Author: Katsumi Nomizu
Publisher: American Mathematical Soc.
ISBN: 9780821875117
Category : Geometry, Algebraic
Languages : en
Pages : 170
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Book Description
This book presents papers that originally appeared in the Japanese journal Sugaku. The papers explore the relationship between number theory, algebraic geometry, and differential geometry.
Author: Miles Reid
Publisher: Cambridge University Press
ISBN: 9780521545181
Category : Mathematics
Languages : en
Pages : 312
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Book Description
This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.
Author: Katsumi Nomizu
Publisher:
ISBN:
Category :
Languages : en
Pages : 154
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Book Description
Author: Jürgen Neukirch
Publisher: Springer Science & Business Media
ISBN: 3540378898
Category : Mathematics
Languages : en
Pages : 831
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Book Description
This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. In all it is a virtually complete treatment of a vast array of central topics in algebraic number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.
Author: Álvaro Lozano-Robledo
Publisher: American Mathematical Soc.
ISBN: 147045016X
Category : Mathematics
Languages : en
Pages : 506
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Book Description
Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians have discovered many beautiful interactions between the two subjects and recorded them in such classical texts as Euclid's Elements and Diophantus's Arithmetica. Nowadays, the field of mathematics that studies the interactions between number theory and algebraic geometry is known as arithmetic geometry. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book. For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to find all the integral points on a line in the plane. Similarly, Gauss's law of quadratic reciprocity and the theory of continued fractions naturally arise when we attempt to determine the integral points on a curve in the plane given by a quadratic polynomial equation. After an introduction to the theory of diophantine equations, the rest of the book is structured in three acts that correspond to the study of the integral and rational solutions of linear, quadratic, and cubic curves, respectively. This book describes many applications including modern applications in cryptography; it also presents some recent results in arithmetic geometry. With many exercises, this book can be used as a text for a first course in number theory or for a subsequent course on arithmetic (or diophantine) geometry at the junior-senior level.
Author: Fedor Bogomolov
Publisher: Springer Science & Business Media
ISBN: 0817644172
Category : Mathematics
Languages : en
Pages : 365
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Book Description
* Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory * The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry * Text can serve as an intense introduction for graduate students and those wishing to pursue research in algebraic and arithmetic geometry
Author:
Publisher:
ISBN: 9781470433833
Category :
Languages : en
Pages : 91
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Book Description
Author: 野水克己
Publisher: American Mathematical Soc.
ISBN: 9780821835081
Category : Differential equations, Partial
Languages : en
Pages : 152
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Book Description
This volume contains translations of papers that originally appeared in the Japanese journal, Sugaku. Ordinarily the papers would appear in the AMS translation of that journal, but to expedite publication, the Society has chosen to publish them as a volume of selected papers. The papers range over a variety of topics, including nonlinear partial differential equations, $C*$-algebras, and Schrodinger operators. The volume is suitable for graduate students and research mathematicians interested in analysis and differential equations.
Author: David Eisenbud
Publisher: Springer Science & Business Media
ISBN: 0387226397
Category : Mathematics
Languages : en
Pages : 265
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Book Description
Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
