The Cox ring of a complexity-one horospherical variety

to request that every maximal ideal of R be dense, that is to request that (since R is Noetherian) every maximal ideal of R contain a regular.. element. We have always

A corpus of 10 professional audio descriptions in English (WHW-EN-Pr), including both the text and the audiovisual file: 6,799 words... The corpus includes audio descriptions

The category of rings uith derivations o f order s is isomorphic to the dual of the category of ringed spaces with local stalks, the morphisms being the

THEOREM 5.2: Let V be a threefold of general type, and suppose that for n sufficiently large, InKvl has no indeterminate locus and the.. fixed components are normal

By the classification theory of compact connected Lie groups there are only a finite number in each dimension.. In these references

The method of proof is via a degeneration argument - we construct (in some detail) the "generic" degeneration of a family of principally polarized

is its group of components ; subgroup will always mean closed subgroup ; and cyclic group will mean a compact Lie group containing an element, called the generator, whose powers

Examples of GE-rings are (i) the classical Euclidean rings (cf. [17]), (ii) rings with a weak algorithm [5], in particular free associative algebras over a commutative field, and