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BASIC ALGEBRAIC GEOMETRY WITH 19 FIGURES by / Igor Rostislavovich Shafarevich is a nonfiction available to read on EtoBox.
What is BASIC ALGEBRAIC GEOMETRY WITH 19 FIGURES about?
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.- 4. Examples of Regular Mappings.- Exercises.- 5. Products and Mappings of Quasiprojective Varieties.- 1. Products.- 2. Closure of the Image of a Projective Variety.- 3. Finite Mappings.- 4. Normalization Theorem.- Exercises.- 6. Dimension.- 1. Definition of Dimension.- 2. Dimension of an Intersection with a Hypersurface.- 3. A Theorem on the Dimension of Fibres.- 4. Lines on Surfaces.- 5. The Chow Coordinates of a Projective Variety.- Exercises.- II. Local Properties.- 1. Simple and Singular Points.- 1. The Local Ring of a Point.- 2. The Tangent Space.- 3. Invariance of the Tangent Space.- 4. Singular Poi
Who reads BASIC ALGEBRAIC GEOMETRY WITH 19 FIGURES?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- / Igor Rostislavovich Shafarevich
- Publisher
- Springer Spektrum. in Springer-Verlag GmbH
- Published
- 2012
- Language
- EN
- ISBN
- 9783642962004
- Category
- nonfiction
- Subjects
- Mathematics, Stem