The local intersection cohomology of a point in the Baily–Borel compactification (of a Hermitian locally symmetric space) is shown to be canonically isomorphic to the weighted cohomology of a certain linear locally symmetric space (an arithmetic quotient of the associated self-adjoint homogeneous cone). Explicit computations are given for the symplectic group in four variables. Mathematics Subj...

The article aims at higher order fractional variational pair of symmetric dual formulations where constraints are defined over cones and explores pertinent duality output applying the idea ?-invexity. Also, we bring into begin a numerical example in to validate definition exploited establish results. Moreover, demonstrate case study dealing with static formulation our considered problem explore...

we present an improved version of a full nesterov-todd step infeasible interior-point method for linear complementarityproblem over symmetric cone (bull. iranian math. soc.,40(3), 541-564, (2014)). in the earlier version, each iteration consistedof one so-called feasibility step and a few -at most three -centering steps. here, each iteration consists of only a feasibilitystep. thus, the new alg...

Asymmetric Ca(2+) elevations across the axonal growth cone mediate its turning responses to attractive and repulsive guidance cues. Here we show that clathrin-mediated endocytosis acts downstream of Ca(2+) signals as driving machinery for growth cone turning. In dorsal root ganglion neurons, the formation of clathrin-coated pits is facilitated asymmetrically across the growth cone by a directio...

We describe the big cone of a projective symmetric variety. Moreover, we give a necessary and sufficient combinatorial criterion for the bigness of a nef divisor (linearly equivalent to a G-stable divisor) on a projective symmetric variety. When the variety is toroidal, such criterion has an explicitly geometrical interpretation. Finally, we describe the spherical closure of a symmetric subgrou...