Basic Algebraic Geometry

Basic Algebraic Geometry

Ch 30 NIOS: Gyanamrit via YouTube Direct link

The Importance of Local rings - A morphism is an isomorphism if it is a homeomorphis

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1 of 10

The Importance of Local rings - A morphism is an isomorphism if it is a homeomorphis

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Basic Algebraic Geometry

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

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