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Philip Boalch (2003)
Annales de l’institut Fourier
We will explain how some new algebraic solutions of the sixth Painlevé equation arise from complex reflection groups, thereby extending some results of Hitchin and Dubrovin-- Mazzocco for real reflection groups. The problem of finding explicit formulae for these solutions will be addressed elsewhere.
Keiji Nishioka (1990)
Manuscripta mathematica
Bong H. Lian, Ruifang Song, Shing-Tung Yau (2013)
Journal of the European Mathematical Society
We study period integrals of CY hypersurfaces in a partial flag variety. We construct a regular holonomic system of differential equations which govern the period integrals. By means of representation theory, a set of generators of the system can be described explicitly. The results are also generalized to CY complete intersections. The construction of these new systems of differential equations has lead us to the notion of a tautological system.
Behloul, Djilali (2011)
Applied Mathematics E-Notes [electronic only]
Kuznetsova, O.S. (2001)
Sibirskij Matematicheskij Zhurnal
Abdullayev, Alisher S. (2004)
International Journal of Mathematics and Mathematical Sciences
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