Timeline for Is there an Ehrhart polynomial for Gaussian integers
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Jul 22, 2022 at 6:04 | comment | added | efs | Dear David. Sorry for the late question, but, did you eventually found some place (in addition to the articles you mention) where this is explained/worked, hopefully for other number fields? | |
| May 15, 2014 at 9:24 | comment | added | Dima Pasechnik | Yeah, right, I didn't think straight. Sorry for noise. | |
| May 14, 2014 at 7:04 | comment | added | David E Speyer | I do not see this. A rotation can change the lattice in a quite messy way. What am I missing? | |
| May 13, 2014 at 14:43 | comment | added | Dima Pasechnik | naively, at least if $|a+ib|\in\mathbb{Z}$, this should follow from the classical case; indeed, by multiplying by $a+ib$ you apply to your $\mathbb{C}$-plane the composition of a rotation and the scalar matrix $C=|a+ib|I$, and so the integer points would behave in the same way as by scaling with $C$ alone. | |
| May 13, 2014 at 0:10 | history | edited | Gerry Myerson | CC BY-SA 3.0 |
typo
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| May 12, 2014 at 13:21 | history | edited | David E Speyer | CC BY-SA 3.0 |
added 181 characters in body
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| May 12, 2014 at 13:19 | comment | added | David E Speyer | @DimaPasechnik Because I'm multiplying by Gaussian integers, not ordinary integers. Edited to clarify. | |
| May 12, 2014 at 8:15 | comment | added | Dima Pasechnik | I was under impression that the quasiperiodicity of Ehrhart polynomial holds for any lattice $\Lambda$ in $\mathbb{R}^d$ and a polytope with vertices in $\Lambda$. How does your setting differ? | |
| May 12, 2014 at 5:32 | history | edited | Gerry Myerson | CC BY-SA 3.0 |
typo in title
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| May 12, 2014 at 1:46 | history | asked | David E Speyer | CC BY-SA 3.0 |