Timeline for Rational smooth complex projectives three fold with non-rational deformation
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 9, 2012 at 12:52 | comment | added | naf | Low degree hypersurfaces of large dimension are known to be unirational, but as far as I know rationality has not been proved in any degree $>2$ (for all hypersurfaces of a given dimension). | |
| Dec 8, 2012 at 11:49 | comment | added | aglearner | Ulrich, I know about this situation in dimension $4$, this is why I asked specifically about dim $3$ which looks a bit different somehow... In fact I heard also once that low degree hypersufaces in $\mathbb CP^n$ of very large dimension are expected to be rational, but I wonder if this is indeed expected and if yes, is it proven at least in one case (of degree $\ge 3$)... | |
| Dec 8, 2012 at 6:09 | comment | added | naf | If, instead of threefolds, you consider fourfolds, then the general cubic foufold is expected to be irrational but there do exist cubic fourfolds which are rational. | |
| Dec 7, 2012 at 19:09 | vote | accept | aglearner | ||
| Dec 7, 2012 at 17:22 | answer | added | Sasha | timeline score: 4 | |
| Dec 7, 2012 at 12:20 | history | edited | aglearner | CC BY-SA 3.0 |
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| Dec 7, 2012 at 12:03 | history | asked | aglearner | CC BY-SA 3.0 |