Timeline for Lattice points in dilated polytopes and sumsets
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2014 at 21:53 | history | bounty ended | Per Alexandersson | ||
| Jan 31, 2014 at 23:08 | history | edited | Lev Borisov | CC BY-SA 3.0 |
added 281 characters in body
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| Jan 31, 2014 at 20:33 | comment | added | Lev Borisov | Yes. It is probably fairly easy to write them explicitly for GT polytopes -- these just might give smooth varieties (maybe some repeated projective bundles)? | |
| Jan 31, 2014 at 20:33 | comment | added | Per Alexandersson | Ah, ok. Hm, so let me visualize, the $q_i$:s are the closest lattice points on edges going out of $q$, which are in the boundary of $P$? | |
| Jan 31, 2014 at 19:24 | history | edited | Lev Borisov | CC BY-SA 3.0 |
the word "minimum" is clarified to "minimum possible volume"
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| Jan 31, 2014 at 18:34 | comment | added | Lev Borisov | No, smoothness is a very strenuous assumption. It means that if you write $q_i-q$ in a basis of the lattice, the determinant of the resulting matrix is $\pm 1$. It may however hold for the polytopes you are interested in. | |
| Jan 31, 2014 at 14:52 | comment | added | Per Alexandersson | So, for example if the polytope happens to be a simplex, it is smooth? | |
| Jan 31, 2014 at 12:27 | history | answered | Lev Borisov | CC BY-SA 3.0 |