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Oct 28, 2023 at 5:34 vote accept pozio
Oct 28, 2023 at 5:34
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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
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