Timeline for A question about fiberbundles in algebraic geometry
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2013 at 14:33 | comment | added | Oliver Straser | I edited my comment above and replaced Zariski by etale. | |
| Apr 13, 2013 at 14:32 | comment | added | Oliver Straser | Ok, i am sorry but maybe my question was to naive. First i really thought about the obvious (naive) definition of a fiber bundle in the Zariski topology, of course if there are nice results in the form of: We have an algebraic morphism $E\to B$ which is a fiber bundle in the etale topology. If $F$ and $B$ are projective then is $ E$ (for maybe a very restrictive class of varieties $B$ and $F$) then so is $E$ I would be glad to hear about it. @ZhuangXiaobo thank you for the reference! – O. Straser 3 hours ago | |
| Apr 13, 2013 at 9:59 | comment | added | Xiaobo Zhuang | I think Hartshorne Proposition 7.10. of Chapter II is related your question | |
| Apr 13, 2013 at 9:42 | comment | added | Angelo | Locally trivial meaning locally a product? This is an extremely restrictive notion; usually one uses the étale topology. Also, if you want an analogue of the topological notion of fiber bundle even having isomorphic fibers may be too strong. For example, a smooth projective morphism is topologically a fiber bundle, but does not have isomorphic fibers in general. | |
| Apr 13, 2013 at 9:18 | comment | added | Oliver Straser | I would say locally trivial in the Zariski topology! | |
| Apr 13, 2013 at 8:49 | comment | added | Angelo | What's your definition of a fiber bundle? | |
| Apr 13, 2013 at 8:39 | history | asked | Oliver Straser | CC BY-SA 3.0 |