Timeline for Volume-like property to upper bound lattice points in a convex body
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 30, 2017 at 22:26 | vote | accept | Greg Kuperberg | ||
| Jun 13, 2017 at 6:19 | answer | added | Noah Stephens-Davidowitz | timeline score: 4 | |
| Jan 21, 2013 at 17:44 | comment | added | Greg Kuperberg | Here is a primitive bound for lattice polytopes (not necessarily centrally symmetric) that is already interesting. It looks like a lattice polytope can be triangulated by lattice simplices with no internal vertices. This yields $N \le (n+1)!(\text{Vol} K)$. This bound is apparently refined by a bound on Ehrhart coefficients due to Betke and McMullen. This estimate and the Betke-McMullen bound might already be what I'm looking for. I will leave the question open for now in case there are further ideas. | |
| Jan 21, 2013 at 7:17 | history | asked | Greg Kuperberg | CC BY-SA 3.0 |