Timeline for Lift smooth projective varieties over $\mathbb F_p$ to $\mathbb Z_p$?
Current License: CC BY-SA 3.0
10 events
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| May 17, 2012 at 14:02 | comment | added | Chandan Singh Dalawat | The first part answers the question about $\mathbf{Z}$; the addendum deals with $\mathbf{Z}_p$. | |
| May 17, 2012 at 13:51 | comment | added | Joël | I fail to see how this answers the title question. the ring of integers is not the ring of $p$-adic integers. | |
| May 11, 2012 at 7:37 | history | edited | Chandan Singh Dalawat | CC BY-SA 3.0 |
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| May 11, 2012 at 2:59 | comment | added | Chandan Singh Dalawat | The theorem of Fontaine (and Abrashkin) says that for $n>0$, there is no abelian scheme of dimension $n$ over $\mathrm{Spec}(\mathbf{Z})$. The case $n=1$ (elliptic curves) was known earlier and is due to Tate, I believe. | |
| May 11, 2012 at 0:47 | comment | added | Akhil Mathew | (Ah, someone just pointed me to a result of Fontane discussed at mathoverflow.net/questions/10860/…) | |
| May 11, 2012 at 0:03 | comment | added | Akhil Mathew | Maybe I'm being dense here, but why is $\mathbb{P}^1$ the only smooth projective curve over $\mathbb{Z}$? | |
| May 9, 2012 at 9:34 | vote | accept | Jakob | ||
| May 8, 2012 at 12:21 | history | edited | Chandan Singh Dalawat | CC BY-SA 3.0 |
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| May 8, 2012 at 12:07 | comment | added | Chandan Singh Dalawat | See also mathoverflow.net/questions/25337/… | |
| May 8, 2012 at 12:03 | history | answered | Chandan Singh Dalawat | CC BY-SA 3.0 |