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C O ] 8 M ay 2 01 8 QGLBT for polytopes
| Content Provider | Semantic Scholar |
|---|---|
| Author | Adiprasito, Karim A. Nevo, Eran |
| Copyright Year | 2018 |
| Abstract | We extend the assertion of the Generalized Lower Bound Theorem (GLBT) to general polytopes under the assumption that their low dimensional skeleton is simplicial, with partial results for the general case. We prove a quantitative version of the GLBT for general polytopes, and use it to give a topological necessary condition for polytopes to have vanishing toric gk entry. As another application of the QGLBT we prove a conjecture of Kalai on g-numbers for general polytopes approximating a smooth convex body. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://export.arxiv.org/pdf/1805.03267 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
