Introductory Geometry: Algebraic Geometry

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Introductory GeometryCourse No. 100 351Fall 2005Second Part: Algebraic GeometryMichael StollContents1. What Is Algebraic Geometry ?22. Affine Spaces and Algebraic Sets33. Projective Spaces and Algebraic Sets64. Projective Closure and Affine Patches95. Morphisms and Rational Maps116. Curves Local Properties147. B ezout s Is Algebraic Geometry ?Linear Algebracan be seen (in parts at least) as the study of systems of linearequations. In geometric terms, this can be interpreted as the study of linear (oraffine) subspaces ofCn(say).

2 1. What Is Algebraic Geometry? Linear Algebra can be seen (in parts at least) as the study of systems of linear equations. In geometric terms, this can be interpreted as the study of linear (or

  Geometry, Algebraic geometry, Algebraic