Timeline for A log structure on the moduli space of curves
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Apr 1, 2018 at 9:10 | comment | added | S. Carnahan♦ | @DmitryVaintrob I agree completely with your comment, and I plan to rewrite my answer in a few days (unless someone else writes a correct answer, in which case I will delete this). | |
| Mar 25, 2018 at 22:49 | comment | added | Dmitry Vaintrob | Sorry, after a little more thinking I ended up un-accepting this answer (based on Piotr's comment). The issue is that a family of constant $\mathbb{N}$-motives over a variety $X$ may not be (e.g. étale) locally constant, since it may be twisted by invertible functions on the base. As an example, if $L$ is a line bundle on $X$ and $X_L$ is the normal log structure on $X$ induced on $L$, its Kato-Nakayama space is the circle bundle associated to $L$, which remembers at least the Chern class (in Betti homology): something that can be nontrivial if $X$ is e.g. simply connected. | |
| Mar 25, 2018 at 6:22 | vote | accept | Dmitry Vaintrob | ||
| Mar 25, 2018 at 22:44 | |||||
| Mar 24, 2018 at 22:06 | history | answered | S. Carnahan♦ | CC BY-SA 3.0 |