Sentence examples for class of varieties from inspiring English sources

Generalized hyperelliptic varieties X are a class of varieties for which a weaker property holds.

I shall present new results and open questions concerning this class of varieties.

One class of varieties in particular that has been of great importance to number are elliptical curves.

Indeed a stronger result, with a similar method to the one of [96] was shown by Kotschick (see [258] and Theorem 138 below), after some partial results by Jost and Yau.   (11) Generalized hyperelliptic varieties X are a class of varieties for which a weaker property holds.

It turned out that the ideas needed to treat this special family of Inoue surfaces could be put in a rather general framework, valid in all dimensions, setting then the stage for the investigation and search for a new class of varieties, which we proposed to call Inoue-type varieties.

Using noncommutative Berezin transforms associated with each variety, we develop an operator model theory and dilation theory for large classes of varieties in noncommutative polydomains.

After recalling the basic properties of such classifying spaces, an important class of such varieties is introduced, the one of Bagnera de Franchis varieties, the quotients of an Abelian variety by the free action of a cyclic group.

The classification theory of algebraic varieties proposes to classify the birational equivalence classes of projective varieties.

For instance, the SL10019_376 and the SL10450_71, both localized in chromosome 3, were identified as being putatively under selection in the comparisons between landraces and each of the three classes of contemporary varieties.

To statistically identify candidates for loci under selection between landraces and the market classes of commercial varieties we carried out an analysis based on the detection SNPs that had excessively high or low Fst compared to neutral expectations.

end{aligned} The corresponding equivalence class of a G-marked variety is defined to be a G- unmarked) variety.