Timeline for Specializing p-torsion in a family of elliptic surfaces
Current License: CC BY-SA 4.0
14 events
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Oct 28, 2023 at 5:34 | vote | accept | pozio | ||
Oct 28, 2023 at 5:34 | |||||
Apr 6, 2022 at 10:00 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
Dec 7, 2021 at 10:00 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
Aug 9, 2021 at 9:07 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
Apr 11, 2021 at 8:01 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
Mar 12, 2021 at 7:01 | answer | added | pozio | timeline score: 1 | |
Jan 28, 2021 at 19:58 | comment | added | Will Sawin | But I don't think a $p$-torsion section in characteristic $p$ can intersect an $I_n$ fiber in the identity component (because then it would have to intersect $0$). | |
Jan 28, 2021 at 19:53 | comment | added | Will Sawin | Are you sure $p$-torsion in the Picard group can exist at all? Any line bundle whose restriction to the generic fiber is degree $0$ can be written over the generic fiber as a section minus the zero section, hence is a section minus the zero section plus a bunch of divisors restricted to the fibers. Because it's torsion, it has zero intersection with each divisor on the fibers, so it's a section minus the zero section plus a bunch of copies of the generic fiber, and thus the section must intersect each fiber in the identity component. | |
Jan 28, 2021 at 5:52 | comment | added | pozio | @WillSawin sorry, $\tau$ means torsion (somewhat redundantly) | |
Jan 28, 2021 at 3:42 | comment | added | Will Sawin | What does the $\tau$ mean here? | |
Jan 27, 2021 at 15:35 | history | edited | pozio | CC BY-SA 4.0 |
Corrected title, clarified question
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S Jan 26, 2021 at 2:35 | history | suggested | KReiser | CC BY-SA 4.0 |
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Jan 26, 2021 at 2:15 | review | Suggested edits | |||
S Jan 26, 2021 at 2:35 | |||||
Jan 25, 2021 at 13:00 | history | asked | pozio | CC BY-SA 4.0 |