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Jan
3 |
comment |
Pathological behavior of Lie algebra under a map of abelian schemes
you can not use Raynaud's result since this requires an exact sequence between the Néron model: in particular, the Néron model of the quotient $F_K'/E_K'$ should be semi-abelian. |
Aug
22 |
awarded | Nice Answer |
Feb
24 |
awarded | Enthusiast |
Feb
22 |
comment |
Where can I find the two books of Weil on abelian varieties?
If you are in Beijing, I think you can find these two books in the university library of Tsinghua (老馆闭架库). |
Feb
6 |
comment |
The Picard Group over artin ring
I think that in BLR's book, they say only that, when $X/S$ is a projective abelian scheme, $\mathrm{Pic}^{\tau}_{X/S}$ is representable. For the representability for the whole Picard functor, you need to use Falting-Chai theorem 1.9, which is due to Raynaud..Moreover, in general, $\mathbb{Pic}_{X/S}$ may be not smooth, only the identity componenet is smooth.. |
Sep
21 |
awarded | Necromancer |
Sep
21 |
awarded | Editor |
Sep
21 |
revised |
Global sections of flat scheme also flat?
added 77 characters in body |
Sep
20 |
awarded | Teacher |
Sep
19 |
answered | Global sections of flat scheme also flat? |