We prove that for a given flat surface with conical singularities, any pair of geometric triangulations can be connected by a chain of flips.
Nous démontrons que, dans chaque surface plate à singularités coniques, deux triangulations géométriques peuvent être reliées par une séquence de flips.
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Guillaume Tahar 1
@article{CRMATH_2019__357_7_620_0, author = {Guillaume Tahar}, 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}, }
Guillaume Tahar. Geometric triangulations and flips. Comptes Rendus. Mathématique, Volume 357 (2019) no. 7, pp. 620-623. doi : 10.1016/j.crma.2019.07.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.07.001/
[1] Strata of k-differentials, Algebraic Geom., Volume 6 (2019) no. 2, pp. 196-233
[2] Cluster algebras and triangulated surfaces. Part I: Cluster complexes, Acta Math., Volume 201 (2008) no. 1, pp. 83-146
[3] On triangulations of surfaces, Topol. Appl., Volume 40 (1991) no. 2, pp. 189-194
[4] Flat surfaces (P. Cartier; B. Julia; P. Moussa; P. Vanhove, eds.), Frontiers in Number Theory, Physics, and Geometry, Springer, 2006, pp. 439-586
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