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Introduction to Algebraic Geometry by Igor V. Dolgachev

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Introduction to Algebraic Geometry written by Igor V. Dolgachev . This is an other book of mathematics cover the following topics.

  • Systems of algebraic equations

  • Affine algebraic sets

  • Morphisms of affine algebraic varieties

  • Irreducible algebraic sets and rational functions

  • Projective algebraic varieties

  • B´ezout theorem and a group law on a plane cubic curve

  • Morphisms of projective algebraic varieties

  • Quasi-projective algebraic sets

  • The image of a projective algebraic set

  • Finite regular maps

  • Dimension

  • Lines on hypersurfaces

  • Tangent space

  • Local parameters

  • Projective embeddings

  • Blowing up and resolution of singularities

  • Riemann-Roch Theorem

  • Download free PDF Introduction to Algebraic Geometry by Igor V. Dolgachev
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