Timeline for Is there a proof of Warning's Second Theorem using p-adic cohomology?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 20, 2016 at 21:04 | comment | added | R. van Dobben de Bruyn | Can you explain how you get $H^i(\mathcal O_X) = 0$ for $i > 0$? Are you assuming that $X$ is a complete intersection? | |
| Oct 31, 2014 at 5:14 | comment | added | Daniel Litt | Oops, you're right! I retract my claim. Does it not follow from the Weil conjectures then? (Not that I've had time to check yet...) | |
| Oct 31, 2014 at 5:09 | comment | added | Pete L. Clark | My feeling on this is as follows: Warning's Second Theorem is an "Archimedean" inequality, not a $p$-adic congruence. It is known that it does not follow from the strongest possible $p$-adic congruence (Ax-Katz). Thus I find it counterintuitive that it could come out this way. So if you could show me such a proof even in the smooth homogeneous case, I would be quite interested. | |
| Oct 31, 2014 at 4:56 | history | answered | Daniel Litt | CC BY-SA 3.0 |