Timeline for Reformulation of Grothendieck vanishing theorem
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 24, 2018 at 9:25 | vote | accept | Chen | ||
| Sep 24, 2018 at 9:24 | comment | added | Chen | @JasonStarr Thank you for the answer. | |
| Sep 23, 2018 at 23:43 | answer | added | Monnitoff | timeline score: 2 | |
| Sep 22, 2018 at 14:36 | comment | added | Jason Starr | Every quasi-coherent sheaf on a quasi-projective scheme is an increasing filtering colimit (i.e., direct limit) of coherent sheaves. Every coherent sheaf "supported" on $Z$ equals the pushforward from the closed subscheme $Z_n$ defined by the $n^\text{th}$ power of the ideal sheaf of $Z$. Pushforward is exact, so preserves cohomology. Cohomology on a Noetherian scheme commutes with filtering direct limits. | |
| Sep 22, 2018 at 14:16 | history | asked | Chen | CC BY-SA 4.0 |