Timeline for Is a spectrahedron's boundary almost always "smooth"?
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| S Feb 3, 2018 at 12:24 | history | suggested | Rodrigo de Azevedo |
Added tag.
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| Feb 3, 2018 at 6:18 | review | Suggested edits | |||
| S Feb 3, 2018 at 12:24 | |||||
| Dec 12, 2017 at 22:13 | answer | added | David E Speyer | timeline score: 3 | |
| Dec 12, 2017 at 14:33 | answer | added | Dima Pasechnik | timeline score: 6 | |
| Dec 12, 2017 at 14:21 | comment | added | Dima Pasechnik | there are many interesting examples where there are singularities on the border. E.g. spectrahedra describing decompositions of polynomials as sums of squares have singularities corresponding to minimal possible number of squares in such decompositions. | |
| S Dec 12, 2017 at 14:14 | history | suggested | Rodrigo de Azevedo | CC BY-SA 3.0 |
Added tags, minor edits
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| Dec 12, 2017 at 12:46 | review | Suggested edits | |||
| S Dec 12, 2017 at 14:14 | |||||
| Sep 4, 2016 at 0:55 | comment | added | Kevin Casto | Wikipedia says "Alternatively, the set of n × n positive semidefinite matrices forms a convex cone in $\mathbb{R}^{n × n}$, and a spectrahedron is a shape that can be formed by intersecting this cone with a linear affine subspace." I'm guessing this would just be a straightforward application of transversality/Sard? | |
| Sep 4, 2016 at 0:31 | comment | added | maroxe | I deliberately chose a vague word, the question is open. One possible interpretation is: that happens with probability 1 if the entries of the matrices present in the inequalities defining the set are drawn from a normal distribution. | |
| Sep 4, 2016 at 0:17 | comment | added | Yemon Choi | Could you be more precise about whay you mean by "almost"? Is there some sense in which the polytope is not typical? | |
| Sep 3, 2016 at 23:39 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 3.0 |
Small grammar fix, a few stylistic polishments
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| Sep 3, 2016 at 22:44 | review | First posts | |||
| Sep 3, 2016 at 23:39 | |||||
| Sep 3, 2016 at 22:42 | history | asked | maroxe | CC BY-SA 3.0 |