Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions of algebraic equations in rings and fields, and eventually for the number of such solutions. The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the field Q of rational numbers. One discovers rapidly that to have all the technical freedom needed in handling general problems, one must consider rings and fields ...
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Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions of algebraic equations in rings and fields, and eventually for the number of such solutions. The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the field Q of rational numbers. One discovers rapidly that to have all the technical freedom needed in handling general problems, one must consider rings and fields of finite type over the integers and rationals. Furthermore, one is led to consider also finite fields, p-adic fields (including the real and complex numbers) as representing a localization of the problems under consideration. We shall deal with global problems, all of which will be of a qualitative nature. On the one hand we have curves defined over say the rational numbers. Ifthe curve is affine one may ask for its points in Z, and thanks to Siegel, one can classify all curves which have infinitely many integral points. This problem is treated in Chapter VII. One may ask also for those which have infinitely many rational points, and for this, there is only Mordell's conjecture that if the genus is :;;; 2, then there is only a finite number of rational points.
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New in new dust jacket. Trade paperback (US). 370 p. Audience: Professional and scholarly. Please double check the textbook description: Express shipping takes 3-5 days with free tracking number! Brand New Paperback International edition textbook, 1st edition. Different ISBN number and book cover design. The content is exactly same as original US edition. The book printed in Black/White, the book cover may contain the foreign words and the restriction sale disclaimer.
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New in new dust jacket. Trade paperback (US). 370 p. Audience: Professional and scholarly. This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
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New in new dust jacket. Trade paperback (US). 370 p. Audience: Professional and scholarly. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
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Add this copy of Fundamentals of Diophantine Geometry to cart. $51.90, new condition, Sold by Equilibrium Worldbooks rated 4.0 out of 5 stars, ships from San Gabriel, CA, UNITED STATES, published 1983 by Springer.
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New in new dust jacket. Sewn binding. Cloth over boards. 370 p. Audience: General/trade. Please double check the textbook description: Express shipping takes 3-5 days with free tracking number! Brand New Paperback International edition textbook, 1st edition. Different ISBN number and book cover design. The content is exactly same as original US edition. The book printed in Black/White, the book cover may contain the foreign words and the restriction sale disclaimer.
Add this copy of Fundamentals of Diophantine Geometry to cart. $51.95, new condition, Sold by Global Express, ships from San Marino, CA, UNITED STATES, published 1983 by Springer.
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New in new dust jacket. Sewn binding. Cloth over boards. 370 p. Audience: General/trade. This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
Add this copy of Fundamentals of Diophantine Geometry to cart. $51.97, new condition, Sold by Aideo Textbook rated 4.0 out of 5 stars, ships from Arcadia, CA, UNITED STATES, published 1983 by Springer.
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Seller's Description:
New in new dust jacket. Sewn binding. Cloth over boards. 370 p. Audience: General/trade. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
