  The paper deals with singularities of nonconfluent hypergeometric functions
in several variables. Typically such a function is a multi-valued analytic
function with singularities along an algebraic hypersurface. We describe such
hypersurfaces in terms of amoebas and the Newton polytopes of their defining
polynomials. In particular, we show that all $\mathcal{A}$-discriminantal
hypersurfaces (in the sense of Gelfand, Kapranov and Zelevinsky) have solid
amoebas, that is, amoebas with the minimal number of complement components.

Complex Variables;Analysis of PDEs