Hypergeometric functions associated with the Grassmannian $G_{3,6}$

Hypergeometric functions are studied on the variety $G_{3,6}$ of three-dimensional subspaces in $\mathbf C^6$ and on nondegenerate strata in $G_{3,6}$. They are described in the form of power series, systems of differential equations and integrals of Euler type. A connection is established between these functions and some classical hypergeometric functions of one and two variables.
Figures: 1.
Bibliography: 12 titles.