Timeline for sublattice generated by lattice points intersecting a convex set
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 1, 2013 at 21:31 | vote | accept | CommunityBot | ||
| Sep 1, 2013 at 20:36 | comment | added | Noam D. Elkies | Sorry this seems to be confusing you: for $r=3$, $M$ EQUALS ${\bf Z}^3$, just with a different choice of coordinates that makes it easy to see what $S$ is doing. | |
| Sep 1, 2013 at 20:06 | comment | added | user35375 | For $r=3$, doesn't it hold that ${\bf Z}^3/M\simeq {\bf Z}_2 \oplus {\bf Z}_2$, which isn't free? | |
| Sep 1, 2013 at 19:18 | comment | added | Noam D. Elkies | The construction assumes that ${\bf Z}^n/M$ is free. You could even take $n=r$ and then change coordinates to identify ${\bf Z}^r$ with $M$, e.g. by using $2e_1,\ldots,2e_{r-1}$ and $\sum_{i=1}^r e_i$ as the new basis vectors. | |
| Sep 1, 2013 at 17:16 | comment | added | user35375 | But in this case, ${\bf Z}^n/M$ is not free? | |
| Sep 1, 2013 at 16:59 | vote | accept | CommunityBot | ||
| Sep 1, 2013 at 17:16 | |||||
| Sep 1, 2013 at 16:52 | history | answered | Noam D. Elkies | CC BY-SA 3.0 |