Timeline for F-crystals from crystalline cohomology
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 19 at 2:13 | vote | accept | onefishtwofish | ||
| Jan 18 at 21:50 | comment | added | Oli Gregory | That $F$ is horizontal is just functoriality. For the Gauss-Manin connection you can look at Katz-Oda, On the differentiation of de Rham cohomology classes with respect to parameters., J. Math. Kyoto Univ. 8 (1968), 199–213. To see that the connection coming from the crystal is the same as the Gauss-Manin connection, see Chapitre V.3.6 in the Berthelot reference in my answer. | |
| Jan 18 at 0:50 | comment | added | onefishtwofish | Thanks! This is helpful. Where can I find the statement that 𝐹 is horizontal for ∇? Would you mind saying a few words about that? Also in a related point, how are we defining the Gauss-Manin connection on crystalline cohomology? (I'm sorry if that's a very ignorant question.) | |
| Jan 17 at 21:57 | history | answered | Oli Gregory | CC BY-SA 4.0 |