We count weight multiplicities of a toric manifold in a weighted manner using the equivariant Hirzebruch χy-characteristic of a complex line bundle over the toric manifold [8], and… (More)

The Euler-Maclaurin formula computes the sum of the values of a function f over the integer points in an interval in terms of the integral of f over variations of that interval. Khovanskii and… (More)

Abstract. We compute explicitly the equivariant Hirzebruch χy-characteristic of an equivariant complex line bundle over a toric manifold and state a weighted version of the quantization commutes with… (More)

Abstract. We give in this note a weighted version of Brianchon-Gram’s decomposition for a simple polytope. We can derive from this decomposition the weighted polar formula of [A] and a weighted… (More)

The aim of this study was to assess and apply a microsatellite multiplex system for parentage determination in alpacas. An approach for parentage testing based on 10 microsatellites was evaluated in… (More)

We use a version of localization in equivariant cohomology for the norm-square of the moment map, described by Paradan, to give several weighted decompositions for simple polytopes. As an… (More)

We present a parametric family of Riordan arrays, which are obtained by multiplying any Riordan array with a generalized Pascal array. In particular, we focus on some interesting properties of… (More)