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.
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.
@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}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {43}, number = {2}, year = {1993}, doi = {10.5802/aif.1337}, zbl = {0788.30037}, mrnumber = {1220275}, language = {fr}, url = {http://archive.numdam.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 - http://archive.numdam.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, Volume 43 (1993) no. 2, pp. 369-381. doi : 10.5802/aif.1337. http://archive.numdam.org/articles/10.5802/aif.1337/
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