Timeline for Non-algebraizable Formal Scheme?
Current License: CC BY-SA 3.0
3 events
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| Jan 10, 2016 at 22:08 | history | edited | Earthliŋ | CC BY-SA 3.0 |
added 5 characters in body
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| Nov 9, 2010 at 14:09 | comment | added | David E Speyer | I was discussing this with jlk and Bhargav yesterday, and Bhargav pointed out to be that there are interesting formal schemes which are not deformations in this sense. Indeed, if $X$ is a curve over $k$, $L$ is a line bundle on $X$ of positive degree and $\hat{X}$ is the formal neighborhood of $X$ in the total space of $L$, then $\hat{X}$ is a formal scheme which does not have any map to $\mathrm{Spec} k[[t]]$ for which the preimage of the closed point is $X$. | |
| Nov 9, 2010 at 10:40 | history | answered | ACL | CC BY-SA 2.5 |