Timeline for Mixed Hodge structure on the rational homotopy type
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| May 31, 2017 at 1:59 | answer | added | Dennis Sullivan | timeline score: 17 | |
| May 10, 2010 at 9:02 | comment | added | Jeffrey Giansiracusa | oops, yes, I meant Bull AMS. | |
| May 9, 2010 at 22:38 | history | edited | algori | CC BY-SA 2.5 |
typos
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| May 9, 2010 at 22:19 | comment | added | algori | Jeffrey -- thanks, did you mean Bull. AMS? As to the uniqueness: I have a stronger (but a bit vague) requirement "functorial in a suitable sense". Depending on that the "suitable sense" is, this may (or may not) imply the uniqueness. Probably I should make this more explicit in the posting. | |
| May 5, 2010 at 15:53 | comment | added | Jeffrey Giansiracusa | In Hain's original research announcement, Mixed Hodge structures on homotopy groups, Bull. LMS 14 (1986) 11-114, Theorem 3 states that the minimal model of a complex variety carries a MHS, but it is not necessarily unique. I suppose you would like to add some kind of uniqueness to this statement. | |
| Apr 23, 2010 at 20:00 | comment | added | algori | unknown -- thanks, yes, I've seen these and they are useful, and the statement I'm interested in is mentioned in the first paper (theorem 3 in the first paper). But the proof is by "plugging (6.2.1) into Morgan's machine". It is not stated explicitly where we are supposed to plug (6.2.1), but I have a guess and if my guess is correct, then this wouldn't work, due to example in remark 3 above. | |
| Apr 23, 2010 at 14:35 | comment | added | naf | Have you looked at the papers of Hain: The de Rham homotopy theory of algebraic varieties I, II? They are certainly related to your question and even if they do not contain an answer they might still be useful. | |
| Apr 23, 2010 at 14:18 | history | edited | algori |
tag added
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| Apr 21, 2010 at 15:17 | history | asked | algori | CC BY-SA 2.5 |