Timeline for Is there a high-concept explanation for why "simplicial" leads to "homotopy-theoretic"?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 17, 2011 at 3:21 | comment | added | Akhil Mathew | Dear Emerton, thanks for the helpful answer! I do not have any experience with simplicial schemes, but it looks like something I should study if it leads to relative etale cohomology. (Incidentally, I'm not sure how any of this is not...high concept -- at least, it's certainly the sort of thing I was interested in when I asked the question.) | |
| Mar 16, 2011 at 7:32 | history | edited | Emerton | CC BY-SA 2.5 |
added 140 characters in body; added 10 characters in body
|
| Mar 16, 2011 at 7:30 | comment | added | Emerton | Dear Bhargav, You're right, of course. I guess in Hodge III Deligne iterates the resolution process, replacing the $X_n$ (in my notation) by appropriately chosen resolutions. Regards, Matt | |
| Mar 16, 2011 at 7:03 | comment | added | Bhargav | Perhaps I'm confused, but it seems unlikely to me that the fibre-product X_n described above (for Deligne's construction) will be smooth for n > 0 in general... | |
| Mar 16, 2011 at 3:23 | history | answered | Emerton | CC BY-SA 2.5 |