We give an alternative construction to a compactification—due to [6]—of the stack of smooth curves endowed with a meromorphic function having poles with fixed order. The original compactification is described as a closure of the initial stack in a proper stack; we give a modular description of the boundary points.
On propose une construction alternative à une compactification – due à [6] – du champ des courbes lisses munies de fonctions méromorphes dʼordres fixés. Cette dernière est obtenue comme lʼadhérence du champ de départ dans un champ propre ; on donne une description modulaire des points du bord.
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@article{CRMATH_2013__351_17-18_695_0, author = {Dudin, Bashar}, title = {Parties polaires et compactification {ELSV}}, journal = {Comptes Rendus. Math\'ematique}, pages = {695--698}, publisher = {Elsevier}, volume = {351}, number = {17-18}, year = {2013}, doi = {10.1016/j.crma.2013.09.004}, language = {fr}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2013.09.004/} }
TY - JOUR AU - Dudin, Bashar TI - Parties polaires et compactification ELSV JO - Comptes Rendus. Mathématique PY - 2013 SP - 695 EP - 698 VL - 351 IS - 17-18 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2013.09.004/ DO - 10.1016/j.crma.2013.09.004 LA - fr ID - CRMATH_2013__351_17-18_695_0 ER -
Dudin, Bashar. Parties polaires et compactification ELSV. Comptes Rendus. Mathématique, Volume 351 (2013) no. 17-18, pp. 695-698. doi : 10.1016/j.crma.2013.09.004. http://archive.numdam.org/articles/10.1016/j.crma.2013.09.004/
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