Sentence examples for theory of varieties from inspiring English sources

But, with the creation of an abstract theory of fields, it was natural to want a theory of varieties defined by equations with coefficients in an arbitrary field.

The theory of varieties and quasivarieties is one of the main subjects of universal algebra.

The classification of headquarter regions is based on the theory of "varieties of capitalism" (Hall and Soskice [2001]).

We end this section mentioning some elementary results which are useful to locate the BdF varieties in the classification theory of algebraic varieties.

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

For instance, in algebraic geometry, the theory of Albanese varieties can be understood as dealing with the case where G is free abelian and the classifying maps are holomorphic.

In this article we mostly consider moduli theory as the fine part of classification theory of complex varieties: and we want to show how in some lucky cases topology helps also for the fine classification, allowing the study of the structure of moduli spaces: as we have done quite concretely in several papers [30, 31, 32, 33, 35, 36, 37].

While German subsidiaries are on average more likely to train apprentices than US and UK subsidiaries (as predicted by the theory of the varieties of capitalism, cf. Hall and Soskice [2001]), that difference in training participation is no longer statistically significant when controlling for firm size and sector affiliation.

This entry surveys nominalistic theories of both varieties.

Functionalist theories of all varieties — whether analytic or empirical, FSIT or functional specification — attempt to characterize mental states exclusively in relational, specifically causal, terms.

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.