基础代数几何（第1卷）
1998-3
北京世界图书出版公司
I.R.Shafarevich
302
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The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject. The author was no longer forced into the painful choice between sacrificing rigour of exposition or overloading the clear geometrical picture with cumbersome algebraic apparatus.
BOOK 1. Varieties in Projective Space Chapter I. Basic Notions 1. Algebraic Curves in the Plane 1.1. Plane Curves 1.2. Rational Curves 1.3. Relation with Field Theory 1.4. Rational Maps 1.5. Singular and Nonsingular Points 1.6. The Projective Plane Exercises to 1 2. Closed Subsets of Affine Space 2.1. Definition of Closed Subsets 2.2. Regular Functions on a Closed Subset 2.3. Regular Maps Exercises to 2 3. Rational Functions 3.1. Irreducible Algebraic Subsets 3.2. Rational Functions 3.3. Rational Maps Exercises to 3 4 Quasiprojectiove Varieties 4.1 Closied Subsets of Projectiive Space 4.2 Regular Functions 4.3 Rational Functions 4.4 Examples of Regual Maps Exercises to 4 ……Chapter Ⅱ Local PropertiesChapter Ⅲ Divisors and Differential FormsChapter Ⅳ Intersection NumbersAlgebraic AppendixRererencesIndex
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好书，代数几何最佳的两三本入门书之一
是代数几何入门的最好书，经典中的经典
绝对是好书I.R.Shafarevich是个绝对大牛，这本书是一本很好的代数几何的初级入门书，此书还是美国研究生从书中力挺的一本书，可想本书的地位非同一般。学完本书后，hartshorne的经典教材代数几何是一本后好的后续书，还有一本代数几何原理都是很不错的！
作者厉害
好东西就是好东西 马上就能找到
老师说这本书的特点是内容丰富，比起其他偏重于用分析或代数方法讲代数几何的书，这本书的方法比较综合性。
刚开始看，听说这本书不错，与哈兹霍恩那本书的风格很不一样。
恩，适用。