Generalized Hypergeometric Functions nFn-1 with Monodromy Groups Sn+1
نویسندگان
چکیده
منابع مشابه
Monodromy of A-hypergeometric functions
Using Mellin-Barnes integrals we give a method to compute a relevant subgroup of the monodromy group of an A-hypergeometric system of differential equations. Presumably this group is the full monodromy group of the system
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[12] N. Takayama, Computation of intersection numbers of a twisted homology group of a locally constant sheaf of more than 1 dimension, 1995, preprint. Corollary 5.2. The monodromy matrices of solutions of the dierential equation (z d dz p Y k=2 z d dz + b k 0 1 0 z p Y k=1 z d dz + a k) y = 0 which correspond to the compact chambers of the hyperplane arrangement ((1 0 t 1)(z 0 t p01) p02 Y i=1...
متن کاملHyperbolic Monodromy Groups for the Hypergeometric Equation and Cartan Involutions
We give a criterion which ensures that a group generated by Cartan involutions in the automorph group of a rational quadratic form of signature (n−1, 1) is “thin”, namely it is of infinite index in the latter. It is based on a graph defined on the integral Cartan root vectors, as well as Vinberg’s theory of hyperbolic reflection groups. The criterion is shown to be robust for showing that many ...
متن کاملMonodromy at infinity of A - hypergeometric functions and toric compactifications ∗
We study A-hypergeometric functions introduced by Gelfand-KapranovZelevinsky [4] and prove a formula for the eigenvalues of their monodromy automorphisms defined by the analytic continuaions along large loops contained in complex lines parallel to the coordinate axes. The method of toric compactifications introduced in [12] and [16] will be used to prove our main theorem.
متن کاملMonodromy of hypergeometric functions arising from arrangements of hyperplanes
Given an arrangement of hyperplanes in P, possibly with non-normal crossings, we give a vanishing lemma for the cohomology of the sheaf of q-forms with logarithmic poles along our arrangement. We give a basis for the ideal J of relations for the Orlik-Solomon’s algebra. Under certain genericity conditions it was shown by H. Esnault, V. Schechtman and E. Viehweg that the cohomology of a local sy...
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ژورنال
عنوان ژورنال: Funkcialaj Ekvacioj
سال: 2005
ISSN: 0532-8721
DOI: 10.1619/fesi.48.57