Nous construisons une famille de surfaces de Riemann hyperelliptiques, de genre variable, munies de fonctions méromorphes de degré deux et d’indice un, ce qui apporte une réponse positive à une conjecture de S. Montiel et A. Ros.
We construct a family of hyperelliptic Riemann surfaces of varying genus provided with meromorphic maps of degree two and index one. This gives an affirmative answer to a conjecture of S. Montiel and A. Ros.
@article{AIF_1993__43_2_369_0, author = {Souam, Rabah}, title = {Exemples d'applications holomorphes d'indice un}, journal = {Annales de l'Institut Fourier}, volume = {43}, year = {1993}, pages = {369-381}, doi = {10.5802/aif.1337}, mrnumber = {94f:58130}, zbl = {0788.30037}, mrnumber = {1220275}, language = {fr}, url = {http://dml.mathdoc.fr/item/AIF_1993__43_2_369_0} }
Souam, Rabah. Exemples d'applications holomorphes d'indice un. Annales de l'Institut Fourier, Tome 43 (1993) pp. 369-381. doi : 10.5802/aif.1337. http://gdmltest.u-ga.fr/item/AIF_1993__43_2_369_0/
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