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Titlebook: Diophantine Geometry; An Introduction Marc Hindry,Joseph H. Silverman Textbook 2000 Springer Science+Business Media New York 2000 YellowSal

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发表于 2025-3-21 16:38:35 | 显示全部楼层 |阅读模式
书目名称Diophantine Geometry
副标题An Introduction
编辑Marc Hindry,Joseph H. Silverman
视频video
丛书名称Graduate Texts in Mathematics
图书封面Titlebook: Diophantine Geometry; An Introduction Marc Hindry,Joseph H. Silverman Textbook 2000 Springer Science+Business Media New York 2000 YellowSal
描述This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.
出版日期Textbook 2000
关键词YellowSale2006; Abelian varieties; Abelian variety; algebraic curve; algebraic number theory; algebraic v
版次1
doihttps://doi.org/10.1007/978-1-4612-1210-2
isbn_ebook978-1-4612-1210-2Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 2000
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The Geometry of Curves and Abelian Varieties,lts. So we suggest that you begin by skimming Part A, possibly reading more closely any material that covers gaps in your knowledge. Then as you read the rest of this book, use Part A as a reference source for geometric facts as they are needed. Having offered this warning and advice, we now begin our (far from brief) survey of algebraic geometry.
发表于 2025-3-22 12:43:06 | 显示全部楼层
Height Functions,udy in this part are called height functions. Before starting the detailed development of the theory of heights, we want to briefly amplify our description of the two properties that a good height function will possess.
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Diophantine Approximation and Integral Points on Curves, is that the difference (p/q) — α∣ can be made as small as desired by an appropriate choice of . This is nothing more than the assertion that ℚ is dense in ℝ. The problem is to show that if the difference is small, then . and . must be large.
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Margarita Vinagre,Reyes Llopis-Garcíalts. So we suggest that you begin by skimming Part A, possibly reading more closely any material that covers gaps in your knowledge. Then as you read the rest of this book, use Part A as a reference source for geometric facts as they are needed. Having offered this warning and advice, we now begin our (far from brief) survey of algebraic geometry.
发表于 2025-3-23 08:36:30 | 显示全部楼层
Irina A. Sekerina,Patricia J. Brooksudy in this part are called height functions. Before starting the detailed development of the theory of heights, we want to briefly amplify our description of the two properties that a good height function will possess.
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