Timeline for Vector bundles of schemes and their topological realizations
Current License: CC BY-SA 3.0
4 events
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| Apr 15, 2011 at 13:06 | comment | added | Donu Arapura | It's presumably the Hausdorff topology, i.e. the one induced by the Euclidean topology on $\mathbb{R}^n$ or $\mathbb{C}^n$ for subschemes. This would preserve products, and I think the answer to the first question is yes. The second seems to yes as well: the $1$-cocycle for $O(m)$ in the standard covering is $x^m$... | |
| Apr 15, 2011 at 7:42 | comment | added | David Roberts♦ | Which topology are you putting on the topological realisations? Also note that even a trivial vector bundle, i.e. a product, may run into trouble because the functor from schemes to spaces that I'm thinking of doesn't commute with products. | |
| Apr 15, 2011 at 7:13 | history | edited | user14310 | CC BY-SA 3.0 |
added 3 characters in body
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| Apr 13, 2011 at 7:40 | history | asked | user14310 | CC BY-SA 3.0 |