Geodesic
Staircase diagrams and the enumeration of smooth Schubert varieties
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

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

In this extended abstract, we give a complete description and enumeration of smooth and rationally smooth Schubert varieties in finite type. In particular, we show that rationally smooth Schubert varieties are in bijection with a new combinatorial data structure called staircase diagrams. 
@article{DMTCS_2020_special_379_a93,
     author = {Richmond, Edward and Slofstra, William},
     title = {Staircase diagrams and the enumeration of smooth {Schubert} varieties},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6411},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6411/}
}
TY  - JOUR
AU  - Richmond, Edward
AU  - Slofstra, William
TI  - Staircase diagrams and the enumeration of smooth Schubert varieties
JO  - Discrete mathematics & theoretical computer science
PY  - 2020
VL  - DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6411/
DO  - 10.46298/dmtcs.6411
LA  - en
ID  - DMTCS_2020_special_379_a93
ER  - 
%0 Journal Article
%A Richmond, Edward
%A Slofstra, William
%T Staircase diagrams and the enumeration of smooth Schubert varieties
%J Discrete mathematics & theoretical computer science
%D 2020
%V DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6411/
%R 10.46298/dmtcs.6411
%G en
%F DMTCS_2020_special_379_a93
Richmond, Edward; Slofstra, William. Staircase diagrams and the enumeration of smooth Schubert varieties. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6411. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6411/

Cité par Sources :