This paper deals with generalized hypergeometric differential equations of order n ≥ 3 having maximal unipotent monodromy at 0. We show that, among these equations, those leading to mirror maps with integral Taylor coefficients at 0 (up to simple rescaling) have special parameters, namely R-partitioned parameters. This result yields the classification of all generalized hypergeometric different...

The input output map of linear time-continuous systems is investigated. The class of all systems for which the input output map is given by the usual integral is investigated. A complete characterization of this class of systems is given in the paper.

We deal with mappings defined between Riemannian manifolds that belong to a trace space of Sobolev functions. The homological singularities of any such map are represented by a current defined in terms of the boundary of its graph. Under suitable topological assumptions on the domain and target manifolds, we show that the non triviality of the singular current is the only obstruction to the str...

Let C be an integral projective curve in any characteristic. Given an invertible sheaf L on C of degree 1, form the corresponding Abel map AL:C → J̄ , which maps C into its compactified Jacobian, and form its pullback map A L : Pic J̄ → J , which carries the connected component of 0 in the Picard scheme back to the Jacobian. If C has, at worst, double points, then A L is known to be an isomorphis...

Definition Let K be a field. An elliptic curve over K is a pair (X, O) where X is a smooth absolutely integral proper curve over K with genus one and O is a K-rational point on X. Terminology (see Liu [Liu] and Stichtenoth [Sti]) A curve over K is an equidimensional variety over K of dimension one. A variety over K is a separated scheme of finite type over Spec(K). Examples A triangle with equa...

In this note we introduce strongly Lipschitz p-integral operators, strongly Lipschitz p-nuclear operators and Lipschitz p-nuclear operators. It is shown that for a linear operator, the Lipschitz p-nuclear norm is the same as its usual p-nuclear norm under certain conditions. We also prove that the Lipschitz 2-dominated operators and the strongly Lipschitz 2-integral operators are the same with ...

Motivated by some questions in the path integral approach to (topological) gauge theories, we are led to address the following question: given a smooth map from a manifold M to a compact group G, is it possible to smoothly ‘diagonalize’ it, i.e. conjugate it into a map to a maximal torus T of G? We analyze the local and global obstructions and give a complete solution to the problem for regular...

We propose the fusion between two concepts that are very successful in the area of 3D imaging and sensing. Kinect technology permits the registration, in real time, but with low resolution, of accurate depth maps of big, opaque, diffusing 3D scenes. Our proposal consists on transforming the sampled depth map, provided by the Kinect technology, into an array of microimages whose position; pitch ...

A geometric proof of the Matsuki orbit duality for flag manifolds is established in [2] by analyzing the gradient flow of the normsquared of a moment map. In the present paper, we investigate explicit formulas for integral curves associated with this flow, leading to a correspondence between certain integral curves and Cayley transforms. In addition, an exhaustive collection of curves is presen...