Timeline for Inverse Galois problem for $GL_2$ of a compact local ring
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 14, 2015 at 22:24 | comment | added | Will Sawin | Yes, $\mathcal X$ is uncountable. From the ring $\mathbb Z_p[x,y,z,w]/(f(x,y,z,w))$ for a homogeneous polynomial $f$ we can recover the projective variety $f(x,y,z,w)$ by blowing up, but there are uncountably many non-isomorphic hypersurfaces. In fact this trick works with any projective variety. | |
| Aug 13, 2015 at 18:21 | comment | added | Joël | Thanks for these interesting reflexions. My guess is that $\mathcal X$ is not countable but I don't see how to prove it. That should be an easy question for specialists of classifications of singularities. (BTW, I don't really believe in the conjecture that all universal deformation rings in our context should be complete intersection. That seems wishful thinking to me.) | |
| Aug 13, 2015 at 14:49 | history | edited | Passerby | CC BY-SA 3.0 |
edited conditions on rings in $\mathcal{X}$
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| Aug 13, 2015 at 5:40 | history | edited | Passerby | CC BY-SA 3.0 |
added 60 characters in body
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| Aug 13, 2015 at 5:20 | review | First posts | |||
| Aug 13, 2015 at 5:30 | |||||
| Aug 13, 2015 at 5:18 | history | answered | Passerby | CC BY-SA 3.0 |