Timeline for Do complex schemes locally deformation retract onto closed subschemes in the analytic topology?
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| Sep 19, 2015 at 4:07 | comment | added | Dan Ramras | Hironaka, Triangulations of Algebraic Sets, Poc. Symp. in Pure Math, Vol. 29, 1975. The book of Coste, Bochnak, and Roy discusses this as well, but I think they only handle the compact case. | |
| Sep 17, 2015 at 0:54 | comment | added | David Carchedi | Thanks for the comments. I'm having trouble tracking down exactly which paper this occurs in. Any idea the title? Thanks again! | |
| Sep 16, 2015 at 17:09 | comment | added | Dan Ramras | If $X$ is an algebraic variety and $Z$ is a subvariety, then indeed the classical triangulation results (due originally to Lojasiewicz) show that one can triangulate $X$ with $Z$ as a subcomplex. Hironaka has a paper discussing the proof. | |
| Sep 16, 2015 at 5:32 | comment | added | naf | I think this is true and follows from the existence of triangulations. I am not sure of the original reference for this, but it is probably contained in works of Hironaka and/or Lojasiewicz. There are probably several more recent references as well (see, e.g, papers of Bierstone-- Milman). | |
| Sep 16, 2015 at 3:28 | history | asked | David Carchedi | CC BY-SA 3.0 |