BOOKS - Basic Algebraic Geometry
Basic Algebraic Geometry - Igor R. Shafarevich  PDF  BOOKS
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Basic Algebraic Geometry
Author: Igor R. Shafarevich
Format: PDF
File size: PDF 54 MB
Language: English

I. Algebraic Varieties in a Projective Space.- I. Fundamental Concepts.- ? 1. Plane Algebraic Curves.- 1. Rational Curves.- 2. Connections with the Theory of Fields.- 3. Birational Isomorphism of Curves.- Exercises.- ?2. Closed Subsets of Affine Spaces.- 1. Definition of Closed Subset.- 2. Regular Functions on a Closed Set.- 3. Regular Mappings.- Exercises.- ? 3. Rational Functions.- 1. Irreducible Sets.- 2. Rational Functions.- 3. Rational Mappings.- Exercises.- ? 4. Quasiprojective Varieties.- 1. Closed Subsets of a Projective Space.- 2. Regular Functions.- 3. Rational Functions.

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