The fundamental group of the complement of the singular locus of Lauricella's F_C
Journal of Singularities, Tome 17 (2018), pp. 295-329
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We study the fundamental group of the complement of the singular locus of Lauricella's hypergeometric function F_C of n variables. The singular locus consists of n hyperplanes and a hypersurface of degree 2^{n-1} in the complex n-space. We derive some relations that hold for general n ≥ 3. We give an explicit presentation of the fundamental group in the three-dimensional case. We also consider a presentation of the fundamental group of 2^3-covering of this space.
@article{10_5427_jsing_2018_17m,
author = {Yoshiaki Goto and Jyoichi Kaneko},
title = {The fundamental group of the complement of the singular locus of {Lauricella's} {F_C}},
journal = {Journal of Singularities},
pages = {295--329},
publisher = {mathdoc},
volume = {17},
year = {2018},
doi = {10.5427/jsing.2018.17m},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17m/}
}
TY - JOUR AU - Yoshiaki Goto AU - Jyoichi Kaneko TI - The fundamental group of the complement of the singular locus of Lauricella's F_C JO - Journal of Singularities PY - 2018 SP - 295 EP - 329 VL - 17 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17m/ DO - 10.5427/jsing.2018.17m ID - 10_5427_jsing_2018_17m ER -
%0 Journal Article %A Yoshiaki Goto %A Jyoichi Kaneko %T The fundamental group of the complement of the singular locus of Lauricella's F_C %J Journal of Singularities %D 2018 %P 295-329 %V 17 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17m/ %R 10.5427/jsing.2018.17m %F 10_5427_jsing_2018_17m
Yoshiaki Goto; Jyoichi Kaneko. The fundamental group of the complement of the singular locus of Lauricella's F_C. Journal of Singularities, Tome 17 (2018), pp. 295-329. doi: 10.5427/jsing.2018.17m
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