Let be a real pencil of curves of genus two. The goal of this paper is to give a partial classification of possible singular fibers; we give the types of real configurations of singular fibers and we determine the topology of neighbors fibers.
Soit un pinceau réel en courbes de genre . L’objectif de cet article est de donner une classification partielle des fibres singulières possibles ; nous donnons les types de configurations réelles des fibres singulières et nous déterminons la topologie des fibres voisines.
@article{AFST_2015_6_24_3_427_0,
author = {Mouadh Akriche and Samir Moulahi},
title = {Fibre singuli\`ere d{\textquoteright}un pinceau r\'eel en~courbes~de~genre~2},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {427--482},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {6e s{\'e}rie, 24},
number = {3},
year = {2015},
doi = {10.5802/afst.1451},
mrnumber = {3403728},
language = {fr},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1451/}
}
TY - JOUR AU - Mouadh Akriche AU - Samir Moulahi TI - Fibre singulière d’un pinceau réel en courbes de genre 2 JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2015 SP - 427 EP - 482 VL - 24 IS - 3 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1451/ DO - 10.5802/afst.1451 LA - fr ID - AFST_2015_6_24_3_427_0 ER -
%0 Journal Article %A Mouadh Akriche %A Samir Moulahi %T Fibre singulière d’un pinceau réel en courbes de genre 2 %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2015 %P 427-482 %V 24 %N 3 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1451/ %R 10.5802/afst.1451 %G fr %F AFST_2015_6_24_3_427_0
Mouadh Akriche; Samir Moulahi. Fibre singulière d’un pinceau réel en courbes de genre 2. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 24 (2015) no. 3, pp. 427-482. doi : 10.5802/afst.1451. https://afst.centre-mersenne.org/articles/10.5802/afst.1451/
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