Timeline for Stratification of complex algebraic varieties
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 31, 2015 at 7:55 | comment | added | Greg Friedman | Without such an argument, it's not clear to me that we have a "PL stratification" as opposed to just a PL space with triangulations compatible with the filtration. | |
| Oct 31, 2015 at 7:55 | comment | added | Greg Friedman | As above, I agree that Goresky (and others - Verona seems to be the final word in this area) have show that there are triangulations compatible with the stratifications. But I'd be interested in a reference or proof to show that this implies the existence of the PL conical charts, compatible with the given stratification, that David mentions in his question and that are part of the abstract definition of PL stratified pseudomanifold (which I think is what David is interested in). | |
| Oct 26, 2015 at 7:46 | vote | accept | David C | ||
| Oct 26, 2015 at 7:46 | comment | added | David C | Thank you Oliver, I was a bit confused by N. A'Campo's comment (his text is from 1983-1984). Following your answer, I looked to Mark Goresky's note and in this paper he proved was I was searching for. This triangulation result was also proved by many people before the 1980's, for example in F. Johnson's PHD thesis (published in 1983: "On the triangulation of stratified sets and singular varieties". Trans. Amer. Math. Soc. 275 (1983), no. 1, 333–343). | |
| Oct 26, 2015 at 6:22 | history | answered | Oliver Straser | CC BY-SA 3.0 |