Timeline for Simplicial polytope with regular cones
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 26, 2022 at 2:12 | vote | accept | user73577 | ||
| Feb 25, 2022 at 14:06 | comment | added | Francisco Santos | As the OP says, the condition implies that "the vertices of [each of] the facets and the origin form a unimodular simplex". This implies that the facet can be written as $ax \le 1$ for an integer vector $a$. Thus, the polar polytope has integer vertices, namely the $a$'s coming from the facets. Together with the fact that $P_0$ has integer vertices this says that $P_0$ is reflexive. | |
| Feb 24, 2022 at 12:57 | comment | added | M. Winter | Do you have a brief argument for why OP's condition implies $P_0$ being reflexive? | |
| Nov 22, 2021 at 22:55 | history | answered | Francisco Santos | CC BY-SA 4.0 |