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For questions requesting examples of a certain structure or phenomenon
48
votes
Example of connected-etale sequence for group schemes over a Henselian field?
For concepts related to algebraic geometry when the base is not a field, it can be difficult for a beginner to reconcile the approach in Silverman with the approach via schemes. I wasted a lot of time …
23
votes
non principally polarized complex abelian varieties
I've always meant to sit down and figure out some examples. OK, got it. … (Thus, this gives examples of abelian surfaces without principal polarization, and also in char. $p > 0$ examples with no separable polarization by using non-isogenous ordinary elliptic curves.) …
16
votes
What are examples illustrating the usefulness of Krull (i.e., rank > 1) valuations?
M. Temkin has some recent beautiful work on a new approach to semistable reduction for relative curves (without even assuming properness, and not using input about properties of moduli spaces, instead …