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1. • CommentRowNumber1.
   • CommentAuthordx
   • CommentTimeDec 19th 2024
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   Author: dx
   Format: Textwork in progress <a href="https://ncatlab.org/nlab/revision/differential+geometry+and+algebraic+geometry/1">v1</a>, <a href="https://ncatlab.org/nlab/show/differential+geometry+and+algebraic+geometry">current</a>

   work in progress <a href="https://ncatlab.org/nlab/revision/differential+geometry+and+algebraic+geometry/1">v1</a>, <a href="https://ncatlab.org/nlab/show/differential+geometry+and+algebraic+geometry">current</a>
2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeDec 19th 2024
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   Author: zskoda
   Format: MarkdownItexIs this human generated ?

   Is this human generated ?

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 20th 2024
   • (edited Dec 20th 2024)
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   Author: Urs
   Format: MarkdownItexWe have blocked this account now.I have also cleared the [[differential geometry and algebraic geometry|entry]] they created. We might want to "delete" the entry by renaming it to "empty XYZ", or maybe we keep it and eventually add some actual content on the relation between differential and algebraic geometry.

   We have blocked this account now.I have also cleared the entry they created. We might want to “delete” the entry by renaming it to “empty XYZ”, or maybe we keep it and eventually add some actual content on the relation between differential and algebraic geometry.

4. • CommentRowNumber4.
   • CommentAuthorDmitri Pavlov
   • CommentTimeDec 23rd 2024
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   Author: Dmitri Pavlov
   Format: MarkdownItexCreated: The following table illustrates some parallels between [[algebraic geometry]] and [[differential geometry]]. There is also a third column for (holomorphic) [[complex geometry]]. These parallels are formalized using the notion of a [[Fermat theory]]. |[[algebraic geometry]]|[[differential geometry]]| |-|-| |[[commutative algebra]]|[[C^∞-ring]]| |[[affine scheme]]|[[C^∞-locus]]| |[[scheme]]|[[C^∞-scheme]]| |[[derivation]]|[[C^∞-derivation]]| |[[Kähler differential]]|[[C^∞-Kähler differential]]| |[[Serre–Swan theorem]]|[[C^∞-Serre–Swan theorem]]| <a href="https://ncatlab.org/nlab/revision/diff/differential+geometry+and+algebraic+geometry/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/differential+geometry+and+algebraic+geometry/3">v3</a>, <a href="https://ncatlab.org/nlab/show/differential+geometry+and+algebraic+geometry">current</a>

   Created:

   The following table illustrates some parallels between algebraic geometry and differential geometry. There is also a third column for (holomorphic) complex geometry. These parallels are formalized using the notion of a Fermat theory.

   algebraic geometry	differential geometry
   commutative algebra	C^∞-ring
   affine scheme	C^∞-locus
   scheme	C^∞-scheme
   derivation	C^∞-derivation
   Kähler differential	C^∞-Kähler differential
   Serre–Swan theorem	C^∞-Serre–Swan theorem

   diff, v3, current