Timeline for A Lefschetz style formula for the $\ell^\infty$ torsion of an Abelian variety over a finite field
Current License: CC BY-SA 4.0
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| Mar 31, 2020 at 21:14 | comment | added | Asvin | Thanks for the correction! Indeed, I did consider the valuations and it is useful in my context but I would still be interested in a lift of this equality to the level of cohomology. | |
| Mar 31, 2020 at 19:09 | history | edited | Asvin | CC BY-SA 4.0 |
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| Mar 31, 2020 at 16:44 | comment | added | Anonymous | Shouldn't the formula involve a product of the $a_\ell$'s? Finite abelian groups are products of the $\ell$-primary parts, and the cardinality of a finite set multiplies under products. Once you make that switch, you can recover $a_\ell$ as from the $\ell$-adic valuation of the trace of Frobenius. | |
| Mar 31, 2020 at 3:52 | history | edited | Asvin | CC BY-SA 4.0 |
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| Mar 31, 2020 at 3:06 | history | asked | Asvin | CC BY-SA 4.0 |