Timeline for Is a semiabelian algebraic space a scheme?
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| Aug 12, 2014 at 16:57 | comment | added | Matthias Wendt | Maybe the answers for mathoverflow.net/questions/8918 can help? | |
| Aug 10, 2014 at 20:33 | comment | added | user27920 | Ask Kai-Wen Lan; problems like this may arise in the construction of compactifications of PEL moduli schemes. By the method in Faltings-Chai, the general case should reduce to $S$ normal, connected, and finite type over $\mathbf{Z}$. By normality, the semi-abelian algebraic space is functorial in its generic fiber (Faltings sketches this for schemes early in his Mordell paper, but the argument works for algebraic spaces), so it suffices to produce some semi-abelian $S$-scheme with the same generic fiber. This one may hope to with moduli schemes, at least etale-locally on $S$. | |
| Aug 10, 2014 at 15:49 | history | asked | Question Mark | CC BY-SA 3.0 |