no. 7
Geometry
Geometric triangulations and flips
[Triangulations géométriques et flips]

Présenté par : Claire Voisin

Tahar, Guillaume1
1 Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, 7610001, Israel
Comptes Rendus. Mathématique, Tome 357 (2019) no. 7, pp. 620-623.

Nous démontrons que, dans chaque surface plate à singularités coniques, deux triangulations géométriques peuvent être reliées par une séquence de flips.

We prove that for a given flat surface with conical singularities, any pair of geometric triangulations can be connected by a chain of flips.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2019.07.001
Tahar, Guillaume 1

1 Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, 7610001, Israel 
@article{CRMATH_2019__357_7_620_0,
     author = {Tahar, Guillaume},
     title = {Geometric triangulations and flips},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {620--623},
     publisher = {Elsevier},
     volume = {357},
     number = {7},
     year = {2019},
     doi = {10.1016/j.crma.2019.07.001},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.crma.2019.07.001/}
}
TY  - JOUR
AU  - Tahar, Guillaume
TI  - Geometric triangulations and flips
JO  - Comptes Rendus. Mathématique
PY  - 2019
SP  - 620
EP  - 623
VL  - 357
IS  - 7
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/j.crma.2019.07.001/
DO  - 10.1016/j.crma.2019.07.001
LA  - en
ID  - CRMATH_2019__357_7_620_0
ER  - 
%0 Journal Article
%A Tahar, Guillaume
%T Geometric triangulations and flips
%J Comptes Rendus. Mathématique
%D 2019
%P 620-623
%V 357
%N 7
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.crma.2019.07.001/
%R 10.1016/j.crma.2019.07.001
%G en
%F CRMATH_2019__357_7_620_0
Tahar, Guillaume. Geometric triangulations and flips. Comptes Rendus. Mathématique, Tome 357 (2019) no. 7, pp. 620-623. doi : 10.1016/j.crma.2019.07.001. http://www.numdam.org/articles/10.1016/j.crma.2019.07.001/

[1] Bainbridge, M.; Chen, D.; Gendron, Q.; Grushevsky, S.; Möller, M. Strata of k-differentials, Algebraic Geom., Volume 6 (2019) no. 2, pp. 196-233

[2] Fomin, S.; Shapiro, M.; Thurston, D. Cluster algebras and triangulated surfaces. Part I: Cluster complexes, Acta Math., Volume 201 (2008) no. 1, pp. 83-146

[3] Hatcher, A. On triangulations of surfaces, Topol. Appl., Volume 40 (1991) no. 2, pp. 189-194

[4] Zorich, A. Flat surfaces (Cartier, P.; Julia, B.; Moussa, P.; Vanhove, P., eds.), Frontiers in Number Theory, Physics, and Geometry, Springer, 2006, pp. 439-586

Cité par Sources :