Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Stokes matrices of hypergeometric integrals

Alexey Glutsyuk;  Christophe Sabot — 2010

Annales de l’institut Fourier

In this work we compute the Stokes matrices of the ordinary differential equation satisfied by the hypergeometric integrals associated to an arrangement of hyperplanes in generic position. This generalizes the computation done by J.-P. Ramis for confluent hypergeometric functions, which correspond to the arrangement of two points on the line. The proof is based on an explicit description of a base of canonical solutions as integrals on the cones of the arrangement, and combinatorial relations between...

An explicit formula for period determinant

Alexey A. Glutsyuk — 2006

Annales de l’institut Fourier

We consider a generic complex polynomial in two variables and a basis in the first homology group of a nonsingular level curve. We take an arbitrary tuple of homogeneous polynomial 1-forms of appropriate degrees so that their integrals over the basic cycles form a square matrix (of multivalued analytic functions of the level value). We give an explicit formula for the determinant of this matrix.

Page 1

Download Results (CSV)