Name
Abstract | ||
|---|---|---|
The $$d$$ d -dimensional simplicial, terminal, and reflexive polytopes with at least $$3d-2$$ 3 d - 2 vertices are classified. In particular, it turns out that all of them are smooth Fano polytopes. This improves on previous results of Casagrande (Ann Inst Fourier (Grenoble) 56(1):121---130, 2006 ) and Øbro (Manuscr Math 125(1): 69---79, 2008 ). Smooth Fano polytopes play a role in algebraic geometry and mathematical physics. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/s00454-014-9607-4 | Discrete & Computational Geometry |
Keywords | DocType | Volume |
Toric Fano varieties,Lattice polytopes,Terminal polytopes,Smooth polytopes,52B20,14M25,14J45 | Journal | 52 |
Issue | ISSN | Citations |
2 | Discrete Comput. Geom. 52:2 (2014) | 1 |
PageRank | References | Authors |
0.48 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Benjamin Assarf | 1 | 4 | 1.26 |
| Michael Joswig | 2 | 112 | 15.41 |
| Andreas Paffenholz | 3 | 35 | 6.22 |