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comment What's the intution behind defining the cotangent sheaf as $\Delta^\ast(\mathscr{I}/\mathscr{I}^2)$?
The last two paragraphs of your answer are almost word-for-word the same as Sándor Kovács' answer on MathOverflow: mathoverflow.net/questions/54593/… If you are not Sándor Kovács (I doubt it), then please attribute the explanation to him.
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Feb
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answered isotropic sublattice
Nov
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answered A basic theorem on field isomorphisms
Nov
22
comment Is every complex (smooth) manifold a scheme?
Actually, if you want $X^{\text{an}}$ to be a smooth manifold, $X$ needs to be a smooth variety. I have never seen the analytification functor for something else than schemes of finite type over $\mathbb{C}$.
Nov
22
revised Is every complex (smooth) manifold a scheme?
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answered Is every complex (smooth) manifold a scheme?
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accepted Interesting type of examples of affine varieties by 'forgetting' polynomial information
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revised Interesting type of examples of affine varieties by 'forgetting' polynomial information
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asked Interesting type of examples of affine varieties by 'forgetting' polynomial information