2015 Volume 69 Issue 1 Pages 203-217
We consider the generalized hypergeometric function m+1Fm and the differential equation m+1Em that it satisfies. We use the twisted (co)homology groups associated with an Euler-type integral representation. We evaluate the intersection numbers of the twisted cocycles that are defined as the mth exterior productsof logarithmic 1-forms.We also provide the twisted cycles corresponding to the local solutions to m+1Em around the origin, and we evaluate their intersection numbers. The intersection numbers of the twisted (co)cycles lead to the twisted period relations between two fundamental systems of solutions to m+1Em.
