Timeline for Do tuples of pairwise commuting matrices form a variety?
Current License: CC BY-SA 3.0
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| S Sep 29, 2013 at 16:25 | history | suggested | Victor |
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| Sep 29, 2013 at 16:15 | review | Suggested edits | |||
| S Sep 29, 2013 at 16:25 | |||||
| Sep 29, 2013 at 0:29 | comment | added | Mahdi Majidi-Zolbanin | I must add that for k>2 this paper might be of interest: csun.edu/~asethura/papers/CommPairsTriples.pdf | |
| Sep 29, 2013 at 0:22 | comment | added | Mahdi Majidi-Zolbanin | It is known that $B_{n,2}$ is irreducible. The part that is open is whether $B_{n,2}$ is reduced. It is also conjectured (M. Artin and M. Hochster) that $B_{n,2}$ is in fact Cohen-Macaulay, but this is open for $n>4$. | |
| Sep 28, 2013 at 13:45 | history | edited | js21 | CC BY-SA 3.0 |
added 9 characters in body
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| Sep 28, 2013 at 11:38 | comment | added | David E Speyer | For $k=2$, this is an open problem. arxiv.org/abs/math/0306275 I don't know whether it is also open for larger $k$, or whether counter-examples are known. | |
| Sep 28, 2013 at 11:31 | history | asked | js21 | CC BY-SA 3.0 |