no. 1
Holomorphic maps between moduli spaces
[Applications holomorphes entre espaces de modules]
Antonakoudis, Stergios1 ; Aramayona, Javier2 ; Souto, Juan3
1 University of Cambridge Wilberforce Road Cambridge, CB3 0WB (UK)
2 Universidad Autónoma de Madrid & ICMAT Campus Cantoblanco UAM Nicolás Cabrera, 13-15 28049 Madrid (Spain)
3 Université de Rennes 1 Rue du Thabor 35000 Rennes (France)
Annales de l'Institut Fourier, Tome 68 (2018) no. 1, pp. 217-228.

Nous démontrons que toute application non-constante et holomorphe ℳ g,p →ℳ g ' ,p ' entre deux espaces de modules est une application d’oubli, à condition que g≥6 et g ' ≤2g-2.

We prove that every non-constant holomorphic map ℳ g,p →ℳ g ' ,p ' between moduli spaces of Riemann surfaces is a forgetful map, provided that g≥6 and g ' ≤2g-2.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/aif.3158
Classification : 57M50, 32H02
Keywords: Moduli spaces, holomorphic map, forgetful map
Mot clés : Espaces de modules, application holomorphe, application d’oubli

Antonakoudis, Stergios 1 ; Aramayona, Javier 2 ; Souto, Juan 3

1 University of Cambridge Wilberforce Road Cambridge, CB3 0WB (UK)
2 Universidad Autónoma de Madrid & ICMAT Campus Cantoblanco UAM Nicolás Cabrera, 13-15 28049 Madrid (Spain)
3 Université de Rennes 1 Rue du Thabor 35000 Rennes (France)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Antonakoudis, Stergios; Aramayona, Javier; Souto, Juan. Holomorphic maps between moduli spaces. Annales de l'Institut Fourier, Tome 68 (2018) no. 1, pp. 217-228. doi : 10.5802/aif.3158. https://aif.centre-mersenne.org/articles/10.5802/aif.3158/

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