Basic Algebraic Geometry, Vol. 1: Varieties in Projective Space - Softcover

I.R.Shafarevich

 
9787506236195: Basic Algebraic Geometry, Vol. 1: Varieties in Projective Space

Synopsis

Paperback. Pub Date: 2004. Pages: 303 Publisher: World Publishing Company The first edition of this book came out just as the apparatus of algeaic 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 algeaic apparatus. Contents: BOOK 1. Varieties in Projective SpaceChapter I. Basic Notions1. Algeaic Curves in the Plane1.1. Plane Curves1.2. Rational Curves1.3. Relation with Field Theory1.4. Rational Maps1.5. Singular and Nonsingular Points1.6. The Projective PlaneExercises to 12. Closed Subsets of Affine Space2.1. Definition of Closed Subsets2.2. Regular Functions on a Closed Subset2.3. Regular MapsExercises to 23. Rational Functions3.1. Irreducible Algeaic Subsets3...

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