On the width of lattice-free simplices
| dc.creator | Kantor, Jean-Michel | |
| dc.date | 1997-09-24 | |
| dc.date.accessioned | 2026-07-07T09:07:26Z | |
| dc.date.available | 2026-07-07T09:07:26Z | |
| dc.description | Among integral polytopes (vertices with integral coordinates), lattice-free polytopes - intersecting the lattice ONLY at their vertices- are of particular interestin combinatorics and geometry of numbers. A natural question is to measure their "width" (with respect to the integral lattice).There were no known examples of lattice-free polytopes with width bigger than 2 .We prove the following Theorem : Given any positive number $α$ strictly inferior to $1/e$, for d large enough there exists a lattice-free simplex of dimension d and width superior to $αd$. | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9709026 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9709026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150373 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the width of lattice-free simplices | |
| dc.type | text |