We prove that every non-constant holomorphic map between moduli spaces of Riemann surfaces is a forgetful map, provided that and .
Nous démontrons que toute application non-constante et holomorphe entre deux espaces de modules est une application d’oubli, à condition que et .
Revised:
Accepted:
Published online:
Classification: 57M50, 32H02
Keywords: Moduli spaces, holomorphic map, forgetful map
Author's affiliations:
@article{AIF_2018__68_1_217_0, author = {Antonakoudis, Stergios and Aramayona, Javier and Souto, Juan}, title = {Holomorphic maps between moduli spaces}, journal = {Annales de l'Institut Fourier}, pages = {217--228}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {68}, number = {1}, year = {2018}, doi = {10.5802/aif.3158}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3158/} }
TY - JOUR TI - Holomorphic maps between moduli spaces JO - Annales de l'Institut Fourier PY - 2018 DA - 2018/// SP - 217 EP - 228 VL - 68 IS - 1 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3158/ UR - https://doi.org/10.5802/aif.3158 DO - 10.5802/aif.3158 LA - en ID - AIF_2018__68_1_217_0 ER -
Antonakoudis, Stergios; Aramayona, Javier; Souto, Juan. Holomorphic maps between moduli spaces. Annales de l'Institut Fourier, Volume 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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