Timeline for There are only finitely many varieties up to deformation
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 29, 2013 at 7:41 | vote | accept | Doedan | ||
| Aug 29, 2013 at 1:25 | answer | added | Sándor Kovács | timeline score: 7 | |
| Aug 27, 2013 at 18:20 | history | edited | Doedan | CC BY-SA 3.0 |
added 20 characters in body
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| Aug 27, 2013 at 13:47 | comment | added | Jason Starr | You say that, at least formally, proving finiteness up to deformation might be easier than proving "boundedness". In fact, "local finite typeness" is considerably simpler than proving boundedness. So, in fact, quasi-compactness (i.e., finiteness up to deformation) really is the difficult part of the proof. | |
| Aug 27, 2013 at 13:42 | comment | added | Vesselin Dimitrov | There is in fact the more precise finiteness theorem of Chow, which states that the set of all closed subvarieties of $\mathbb{P}^n$ of a bounded degree is contained in only finitely many deformation types. Its proof for curves is particularly easy. | |
| Aug 27, 2013 at 12:51 | comment | added | user36938 | Why does your list of names omit Grothendieck? His finite type result for Hilbert schemes (combined with stratification thereof, depending on what you mean by the word "variety") seems extremely relevant, and such "boundedness" was the key difficulty in his original construction. | |
| Aug 27, 2013 at 8:19 | review | First posts | |||
| Aug 27, 2013 at 8:36 | |||||
| Aug 27, 2013 at 8:01 | history | asked | Doedan | CC BY-SA 3.0 |