Timeline for Geometry Vs Arithmetic of schemes
Current License: CC BY-SA 2.5
15 events
| when toggle format | what | by | license | comment | |
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| Jan 2, 2010 at 21:22 | answer | added | Anweshi | timeline score: 2 | |
| Dec 4, 2009 at 6:58 | vote | accept | Csar Lozano Huerta | ||
| Dec 2, 2009 at 23:03 | comment | added | Ilya Nikokoshev | @Ben, to reconstruct the Hasse bound: see my answer below. | |
| Dec 2, 2009 at 20:42 | comment | added | Ben Webster♦ | By the way, I think that BBD is a terrible reference for this stuff. Milne's Etale Cohomology is much more accessible, and in English, and actually about this stuff. (BBD sends the reader back to SGA and Theorie de Weil a lot). | |
| Dec 2, 2009 at 20:41 | comment | added | Ben Webster♦ | Scott- I would say the genus is determined by the cohomology. Can you reconstruct the genus just knowing the number of points (actually you probably can...is the Hasse bound sharp if you look at large enough finite fields of a given characteristic?) | |
| Dec 2, 2009 at 17:59 | answer | added | Mikhail Bondarko | timeline score: 3 | |
| Dec 2, 2009 at 16:13 | history | edited | Csar Lozano Huerta |
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| Dec 2, 2009 at 7:05 | history | edited | Csar Lozano Huerta | CC BY-SA 2.5 |
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| Dec 2, 2009 at 6:45 | history | edited | Csar Lozano Huerta | CC BY-SA 2.5 |
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| Dec 1, 2009 at 20:32 | answer | added | Ilya Nikokoshev | timeline score: 5 | |
| Dec 1, 2009 at 17:49 | history | edited | Csar Lozano Huerta | CC BY-SA 2.5 |
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| Dec 1, 2009 at 12:29 | answer | added | Thomas Riepe | timeline score: 5 | |
| Dec 1, 2009 at 6:23 | answer | added | David Lehavi | timeline score: 6 | |
| Dec 1, 2009 at 5:25 | comment | added | S. Carnahan♦ | Standard example: The number of rational points on a curve is governed by the Hasse-Weil bound, which depends only on the genus and size of the base field. One could conceivably argue that the genus is governed by the complex topology, but I don't see a good reason to direct a causal arrow in any particular direction. Standard reference for the analogy: some chapter in BBD, Faisceaux Pervers, Asterisque 100. | |
| Dec 1, 2009 at 4:46 | history | asked | Csar Lozano Huerta | CC BY-SA 2.5 |