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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
Generalizing miracle flatness (Matsumura 23.1) via finite Tor-dimension
If you are willing to impose instead a condition on the closed fiber, namely, that it be regular, then you only need to assume something like $A$ being an excellent normal domain with perfect residue …
2
votes
1
answer
198
views
The $p$-th power of the invariant derivative on an elliptic curve in characteristic $p$
I am not an expert in elliptic curves at all, so my question may naive and/or obvious. Let $E$ be an (affine) elliptic curve defined over a finite (or perfect) field of characteristic $p$. Since its m …