February 21, 2019

ANY VARIETY IS A SMOOTH HYPERSURFACE ON AN OPEN DENSE SUBSET (MATHEMATICS - BASIC ALGEBRAIC)


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ANY VARIETY IS A SMOOTH MANIFOLD WITH OR WITHOUT NON-SMOOTH BOUNDARY (MATHEMATICS - BASIC ALGEBRAIC)


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HOW LOCAL RINGS DETECT SMOOTHNESS OR NONSINGULARITY IN ALGEBRAIC GEOMETRY (MATHEMATICS - BASIC ALGEBRAIC)


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WHY LOCAL RINGS PROVIDE CALCULUS WITHOUT LIMITS FOR ALGEBRAIC GEOMETRY PUN INTENDED! (MATHEMATICS - BASIC ALGEBRAIC)


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LOCAL RING ISOMORPHISM, EQUALS FUNCTION FIELD ISOMORPHISM, EQUALS BIRATIONALITY (MATHEMATICS - BASIC ALGEBRAIC)


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