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Discrete Mathematics & Theoretical Computer Science |
Benjamin Assarf ; Michael Joswig ; Andreas Paffenholz
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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)
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https://doi.org/10.46298/dmtcs.12823On a Classification of Smooth Fano PolytopesConference paper
- 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).
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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