Intersection norms are integer norms on the first homology group of a surface. In this article, we give examples of polytopes which are not the dual unit balls of intersection norms, answering a question asked in [2]. On the way, we investigate the set of collections of curves on whose complement is a disk.
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@article{CRMATH_2020__358_8_941_0, author = {Sane, Abdoul Karim}, title = {Intersection norms and one-faced collections}, journal = {Comptes Rendus. Math\'ematique}, pages = {941--956}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {8}, year = {2020}, doi = {10.5802/crmath.118}, language = {en}, url = {http://www.numdam.org/articles/10.5802/crmath.118/} }
TY - JOUR AU - Sane, Abdoul Karim TI - Intersection norms and one-faced collections JO - Comptes Rendus. Mathématique PY - 2020 SP - 941 EP - 956 VL - 358 IS - 8 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.118/ DO - 10.5802/crmath.118 LA - en ID - CRMATH_2020__358_8_941_0 ER -
Sane, Abdoul Karim. Intersection norms and one-faced collections. Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, pp. 941-956. doi : 10.5802/crmath.118. http://www.numdam.org/articles/10.5802/crmath.118/
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