Timeline for Extending vector bundles from subvarieties
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 11, 2020 at 20:43 | comment | added | abx | I think he is implicitly assuming that $X$ is a projective variety. His Lemma 3.2 is obviously false in the affine case. | |
| Dec 11, 2020 at 20:05 | comment | added | user127776 | Does Fujita assume the divisor is irreducible or maybe a different definition of ampleness? Because I'm considering the case when everything is affine, the cohomologies vanish because cohomology of affine schemes vanish. By Hartshorne's definition any divisor on affine scheme is ample. Then it implies you can extend any vector bundle from any effective divisor. Which is not correct. | |
| Dec 11, 2020 at 17:27 | comment | added | abx | No, I guess I put "smooth" because the OP did so. You are right, Fujita makes no smoothness assumption on $Y$. | |
| Dec 11, 2020 at 16:35 | comment | added | user127776 | This has been a while. You mention that $Y$ needs to be a smooth ample divisor. Fujita only mentions non singularity of $X$. Is the assumption of smoothness of the divisor implicit throughout the paper? | |
| Jan 23, 2015 at 4:32 | vote | accept | Walter Neff | ||
| Jul 28, 2014 at 12:11 | history | edited | abx | CC BY-SA 3.0 |
added 23 characters in body
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| Jul 28, 2014 at 10:29 | history | answered | abx | CC BY-SA 3.0 |