Timeline for Are the supports of $Ext^i(M,N)$ eventually periodic?
Current License: CC BY-SA 2.5
10 events
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| Apr 3, 2022 at 9:38 | comment | added | მამუკა ჯიბლაძე | So this still remains an open question? Even finiteness of the support? | |
| Jun 22, 2019 at 10:47 | comment | added | sdey | This paper contains some relevant results which might be of interest doi.org/10.1017/S0305004115000778 ... apparently the question whether $\cup_{i\ge 0} Ass (Ext^i_R(M,R))$ is finite for a finitely generated $R$-module $M$ over a Noetherian local ring $R$, was first asked by Vasconcelos | |
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Aug 12, 2012 at 17:15 | comment | added | Pham Hung Quy | Is minimal of $\cup \mathrm{Ass} \mathrm{Ext}^i_R(M, N)$ finite? | |
| Jul 20, 2010 at 6:03 | history | edited | Hailong Dao | CC BY-SA 2.5 |
added 173 characters in body
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| Jul 18, 2010 at 4:35 | comment | added | Hailong Dao | @Karl: no, not to me. | |
| Jul 18, 2010 at 4:11 | comment | added | Karl Schwede | Long, is it clear that the union of the set of supports of these Ext modules is a finite set? | |
| Jul 18, 2010 at 3:00 | comment | added | Hailong Dao | @Graham: It follows from a simple observation, see for example Cor 2.4 in math.ku.edu/~hdao/asymptotic.pdf and the fact that the total Ext module is Noetherian over the ring of (co)homology operators, defined in Eisenbud's paper. | |
| Jul 17, 2010 at 23:43 | comment | added | Graham Leuschke | Long, can you say something about the "little bit more work" needed to show the c.i. case? Also, is the answer known if $R$ is c.i. (or hypersurface) on the punctured spectrum? | |
| Jul 17, 2010 at 20:20 | history | asked | Hailong Dao | CC BY-SA 2.5 |