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},
pages = {369--381},
year = {1993},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {43},
number = {2},
doi = {10.5802/aif.1337},
mrnumber = {1220275},
zbl = {0788.30037},
language = {fr},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1337/}
}
TY - JOUR AU - Souam, Rabah TI - Exemples d'applications holomorphes d'indice un JO - Annales de l'Institut Fourier PY - 1993 SP - 369 EP - 381 VL - 43 IS - 2 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1337/ DO - 10.5802/aif.1337 LA - fr ID - AIF_1993__43_2_369_0 ER -
Souam, Rabah. Exemples d'applications holomorphes d'indice un. Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 369-381. doi: 10.5802/aif.1337
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