We construct an action of the modular group $\varGamma(2)$
on a general $4$-parameter family of complex cubic surfaces
and describe the nonlinear monodromy of the Painlevé
VI equation in terms of this action.
Publié le : 2002-09-14
Classification:
Modular group,
complex cubic surface,
nonlinear monodromy,
the Painlevé VI equation,
33E17,
14R20
@article{1148392635,
author = {Iwasaki, Katsunori},
title = {A modular group action on cubic surfaces and the monodromy of the Painlev\'e VI equation},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {78},
number = {10},
year = {2002},
pages = { 131-135},
language = {en},
url = {http://dml.mathdoc.fr/item/1148392635}
}
Iwasaki, Katsunori. A modular group action on cubic surfaces and the monodromy of the Painlevé VI equation. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp. 131-135. http://gdmltest.u-ga.fr/item/1148392635/