Benjamin Assarf ; Michael Joswig ; Andreas Paffenholz - On a Classification of Smooth Fano Polytopes

dmtcs:12823 - Discrete Mathematics & Theoretical Computer Science, January 1, 2013, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) - https://doi.org/10.46298/dmtcs.12823
On a Classification of Smooth Fano PolytopesArticle

Authors: Benjamin Assarf 1; Michael Joswig 1; Andreas Paffenholz 1

  • 1 Darmstadt University of Technology [Darmstadt]

The $d$-dimensional simplicial, terminal, and reflexive polytopes with at least $3d-2$ vertices are classified. In particular, it turns out that all of them are smooth Fano polytopes. This improves previous results of Casagrande (2006) and Øbro (2008). Smooth Fano polytopes play a role in algebraic geometry and mathematical physics. This text is an extended abstract of Assarf et al. (2012).

https://doi.org/10.46298/dmtcs.12823
Source: HAL:hal-01229748v1
Volume: DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
Section: Proceedings
Published on: January 1, 2013
Imported on: November 21, 2016
Keywords: toric Fano varieties,lattice polytopes,terminal polytopes,smooth polytopes,[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]

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