Timeline for Algebraization of vector bundles over non-algebraically closed fields
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 1, 2021 at 0:59 | comment | added | Johan | Over arbitrary fields, for the hypersurface case, Lef(Y, X) is stacks.math.columbia.edu/tag/0EL2 and Leff(Y, X) is stacks.math.columbia.edu/tag/0EL7. This trivially implies the result for a complete intersection by composing restriction functors several times. | |
| Feb 28, 2021 at 17:09 | comment | added | user127776 | So the question is whether Hartshorne's theorem of $Leff(Y,X)$ holds over non-algebraically closed fields like finite fields or not. Another one is whether an ample divisor has the property $Leff(Y,X)$ or not over arbitrary field. The example claims there is an extension from formal neighborhood to a neighborhood but does not claim it is unique. | |
| Feb 28, 2021 at 17:06 | history | edited | user127776 | CC BY-SA 4.0 |
added 307 characters in body
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| Feb 28, 2021 at 7:48 | comment | added | Laurent Moret-Bailly | The cited example refers to this proposition, which comes with a proof. So, what is the question exactly? | |
| Feb 28, 2021 at 1:37 | history | edited | user127776 | CC BY-SA 4.0 |
added 218 characters in body
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| Feb 27, 2021 at 21:34 | history | asked | user127776 | CC BY-SA 4.0 |