Timeline for Is there a bound on arithmetic genus of a variety in projective n-space in terms of dimension and degree?
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
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| Feb 23, 2011 at 12:43 | vote | accept | Wanderer | ||
| Feb 17, 2011 at 19:16 | comment | added | Sándor Kovács | You don't even need to fix the dimension as it is bounded by $n$. | |
| Feb 17, 2011 at 19:14 | answer | added | Hailong Dao | timeline score: 3 | |
| Feb 17, 2011 at 18:19 | answer | added | Donu Arapura | timeline score: 8 | |
| Feb 17, 2011 at 17:22 | history | edited | S. Carnahan♦ | CC BY-SA 2.5 |
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| Feb 17, 2011 at 16:40 | comment | added | Wanderer | It's about nonsingular varieties... I need the singular case as well! :) | |
| Feb 17, 2011 at 16:39 | comment | added | J.C. Ottem | There is a lot of literature on this out there. Try for example Zak's article mathecon.cemi.rssi.ru/zak/files/… | |
| Feb 17, 2011 at 16:32 | comment | added | Wanderer | References are most welcome! | |
| Feb 17, 2011 at 16:31 | comment | added | Wanderer | Is this true also for singular varieties? I know about the bounds in Hartshorne, but the result there (Theorem 6.6.4) is for non-singular curves in P^3. | |
| Feb 17, 2011 at 16:25 | comment | added | J.C. Ottem | Yes, this is called the castelnuovo bound. For curves you'll find it in Hartshorne. In this case, g is bounded by a simple quadratic polynomial in the degree, and I think there are higher-dimensonal analogues as well. | |
| Feb 17, 2011 at 16:25 | history | edited | Wanderer | CC BY-SA 2.5 |
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| Feb 17, 2011 at 16:20 | history | asked | Wanderer | CC BY-SA 2.5 |