Sentence examples for homogeneous variety from inspiring English sources

As an application, we compute the Chow group of zero-dimensional cycles on a homogeneous variety associated to a Hermitian form.

In particular, there have been many results which relate the motive of a one homogeneous variety to motives of other simpler or smaller ones (see for example [N.A. Karpenko, Cohomology of relative cellular spaces and of isotropic flag varieties, Algebra i Analiz 12 (12 (2000) 3–69.

Subsequently, the landscape of motives of more general projective homogeneous varieties has begun to emerge.

Semenov, On the classification of projective homogeneous varieties up to motivic isomorphism, Zap.

[Kar00a]; V. Chernousov, S. Gille, A. Merkurjev, Motivic decomposition of isotropic projective homogeneous varieties, Duke Math.

Landraces are heterogeneous populations, generally have wide intra-population diversity, and require a different approach to population characterization than that used for the homogeneous varieties.

In this paper, we exhibit a relationship between motives of two homogeneous varieties by producing a natural rational map between them.

Many mathematicians applied them to obtain applications in analytic number theory, harmonic analysis, theoretical physics, equidistribution of Hecke points on a family of homogeneous varieties, and cohomology.

The exposition focuses on the common structural properties of Eisenstein series occurring in many related applications that have arisen in several recent developments in arithmetic: Arakelov intersection theory on Shimura varieties, special values of L-functions and Iwasawa theory, and equidistribution of rational/integer points on homogeneous varieties.

So far, its implementation in plant breeding has been mainly investigated in species farmed as homogeneous varieties.

To date only a limited number of studies has been published on real data, mainly on species that are primarily grown as homogeneous varieties, such as maize, barley, and wheat (reviewed in [ 40]).