Timeline for Semicontinuity and cohomological flatness for algebraic spaces
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 1, 2010 at 8:32 | vote | accept | Holger Partsch | ||
| Jul 31, 2010 at 18:09 | comment | added | BCnrd | For the final part of the question you have to assume $S$ is reduced (and can let $S$ be loc. noeth. alg. space). For both parts, look at proofs in Mumford's "Abelian Varieties" (upon which Hartshorne's proofs were based); I think those carry over verbatim, which is a reason there may be no reference. Usually proofs concerning cohomology for proper morphisms work with rather little (if any) change for algebraic spaces, perhaps after first making passage to affine base (as we may always do) and sometimes using etale covers in place of Zariski covers (as in Torsten's suggestion). | |
| Jul 31, 2010 at 16:59 | answer | added | Torsten Ekedahl | timeline score: 7 | |
| Jul 31, 2010 at 15:08 | history | asked | Holger Partsch | CC BY-SA 2.5 |