Geodesic
On a Classification of Smooth Fano Polytopes
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) (2013).

Voir la notice de l'article provenant de la source Episciences

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). 
@article{DMTCS_2013_special_264_a94,
     author = {Assarf, Benjamin and Joswig, Michael and Paffenholz, Andreas},
     title = {On a {Classification} of {Smooth} {Fano} {Polytopes}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)},
     year = {2013},
     doi = {10.46298/dmtcs.12823},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.12823/}
}
TY  - JOUR
AU  - Assarf, Benjamin
AU  - Joswig, Michael
AU  - Paffenholz, Andreas
TI  - On a Classification of Smooth Fano Polytopes
JO  - Discrete mathematics & theoretical computer science
PY  - 2013
VL  - DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.12823/
DO  - 10.46298/dmtcs.12823
LA  - en
ID  - DMTCS_2013_special_264_a94
ER  - 
%0 Journal Article
%A Assarf, Benjamin
%A Joswig, Michael
%A Paffenholz, Andreas
%T On a Classification of Smooth Fano Polytopes
%J Discrete mathematics & theoretical computer science
%D 2013
%V DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.12823/
%R 10.46298/dmtcs.12823
%G en
%F DMTCS_2013_special_264_a94
Assarf, Benjamin; Joswig, Michael; Paffenholz, Andreas. On a Classification of Smooth Fano Polytopes. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) (2013). doi : 10.46298/dmtcs.12823. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.12823/

Cité par Sources :