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Fields of Rational Functions or Function fields of Affine and Projective varieties
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Classroom Contents
Basic Algebraic Geometry
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- 1 The Importance of Local rings - A morphism is an isomorphism if it is a homeomorphis
- 2 Any variety is a smooth hypersurface on an open dense subset
- 3 Any Variety is a smooth manifold with or without Non-smooth boundary
- 4 Local Ring isomorphism,Equals Function Field Isomorphism
- 5 How local rings detect smoothness or non-singularity in algaebraic geometry
- 6 Why Local rings provide calculus without limits for Algaebraic geometric pun intended?
- 7 Geometric meaning of Isomorphism of Local Rings - Local rings are almost global
- 8 The Importance of Local rings - A Rational functional in Every local ring is globally regular
- 9 The D-uple embedding and the non-intrinsic nature of the homogeneous coordinate ring
- 10 Fields of Rational Functions or Function fields of Affine and Projective varieties
