  In this paper we study the structure of string theory flux compactification
for a general family of elliptic CY 3-folds. Such a family can be constructed
by successive quadratic twists from similar families of lower dimensions,
starting from family of points. In this case the periods are given by specific
hypergeometric functions. We investigate the specific form of the attractor
equation in the flux compactification procedure, known in string theory. We
also discuss the concept of the flux compactification defined via the black
holes, and study the attractor varieties in the hypergeometrics case.
