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It contains pretty much all the algebraic geometry you'll need for this course. Other excellent reads include Smith, Kahanpaa, Kekalainen, Traves's An Invitation to Algebraic Geometry and Harris's Algebraic Geometry: A First Course. Algebraic Geometry and Arithmetic Curves 作者 : Qing Liu 出版社: Oxford University Press, USA 出版年: 2006-8-24 页数: 600 定价: USD 85.00 装帧: Paperback 丛书: Oxford Graduate Texts in Mathematics This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. It explains both theory and applications clearly and includes essential background methods.
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This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text. ISBN 978-7-5100-4413-7.
It contains pretty much all the algebraic geometry you'll need for this course.
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Introduction 1. Some topics in commutative algebra 2. General Properties of schemes 3.
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Some topics in commutative algebra 2. General Properties of schemes 3. Morphisms and base change 4. Some local properties 5.
algebraic schemes available in (text-)book form, whereas the second, merely arithmetic part provides the very first systematic and coherent introduction to the advanced theory of arithmetic curves and surfaces at all.
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Algebraic Geometry and Arithmetic Curves: 6: Liu, Qing, Erne Reinie: Amazon.sg: Books Skip to main content.sg. Hello Select your address Arithmetic surfaces arise naturally in diophantine geometry, when an algebraic curve defined over K is thought of as having reductions over the fields R/P, where P is a prime ideal of R, for almost all P; and are helpful in specifying what should happen about the process of reducing to R/P when the most naive way fails to make sense. This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.The first part introduces basic objects such as 2020-04-28 · Joe Harris, Introductory algebraic geometry (varieties) Igor Shafarevich, Basic algebraic geometry (varieties and schemes) Shigeru Mukai, An introduction to invariants and moduli, Cambridge Studies in Adv. Math. 81; William Fulton, Algebraic curves.
2006-08-24
Algebraic Geometry and Arithmetic Curves.
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@inproceedings {Liu2002AlgebraicGA, title= {Algebraic Geometry and Arithmetic Curves}, author= {Q. Liu}, year= {2002} } Q. Liu. Published 2002. Mathematics. Introduction 1.
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This book provides a general introduction to the theory of schemes, followedby applications to arithmetic surfaces and to the theory of reductionof algebraic curves. The book is essentially self-contained, including the necessarymaterial on commutative algebra. Buy Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics) (Oxford Graduate Texts in Mathematics, 6) on Amazon.com FREE SHIPPING on qualified orders Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics) (Oxford Graduate Texts in Mathematics, 6): Liu, Qing: 9780199202492: Amazon.com: Books Algebraic Geometry and Arithmetic Curves. @inproceedings {Liu2002AlgebraicGA, title= {Algebraic Geometry and Arithmetic Curves}, author= {Q.