Timeline for Generalization of the Leray-Hirsch theorem
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 11, 2021 at 20:09 | vote | accept | user43198 | ||
| Apr 11, 2021 at 17:53 | answer | added | Dan Petersen | timeline score: 7 | |
| Apr 11, 2021 at 3:33 | comment | added | naf | This might be overkill, but you might find the discussion in Section 6 of the paper by Brosnan and Chow "Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties" useful. In particular, the results there do imply that the sheaves $R^q f_* \mathbb{Q}$ are local systems under your assumptions. | |
| Apr 11, 2021 at 2:50 | comment | added | David Benjamin Lim | I don't know much Hodge theory, but since $H^q(f^{-1}(x), \mathbf{Q})$ is the stalk of $R^qf_\ast \mathbf{Q}$ at $x$, and an equivalent characterization of local constancy is that all specialization maps are isomorphisms, it should follow that $R^qf_\ast \mathbf{Q}$ is a local system. | |
| Apr 10, 2021 at 23:29 | answer | added | Donu Arapura | timeline score: 3 | |
| Apr 10, 2021 at 22:45 | history | asked | user43198 | CC BY-SA 4.0 |