منابع مشابه
Affine Algebraic Varieties
In this paper, we give new criteria for affineness of a variety defined over C. Our main result is that an irreducible algebraic variety Y (may be singular) of dimension d (d ≥ 1) defined over C is an affine variety if and only if Y contains no complete curves, Hi(Y,OY ) = 0 for all i > 0 and the boundary X − Y is support of a big divisor, where X is a projective variety containing Y . We const...
متن کاملAlgebraic Stein Varieties
It is well-known that the associated analytic space of an affine variety defined over complex number field is Stein but the converse is not true, that is, an algebraic Stein variety is not necessarily affine. In this talk, we will give sufficient and necessary conditions for an algebraic Stein variety to be affine. One of our results is that a quasi-projective variety Y defined over complex num...
متن کاملFUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES
In the framework of fuzzy algebras with fuzzy equalities and acomplete lattice as a structure of membership values, we investigate fuzzyequational classes. They consist of special fuzzy algebras fullling the samefuzzy identities, dened with respect to fuzzy equalities. We introduce basicnotions and the corresponding operators of universal algebra: construction offuzzy subalgebras, homomorphisms...
متن کاملPure homology of algebraic varieties
We show that for a complete complex algebraic variety the pure term of the weight filtration in homology coincides with the image of intersection homology. Therefore pure homology is topologically invariant. To obtain slightly more general results we introduce image homology for noncomplete varieties.
متن کاملAlgebraic Deformations of Polarized Varieties
Introduction. Let F b e a projectively embeddable complete non-singular variety of dimension n > 1 . Let f be a projective embedding of 7, U a nonsingular variety, W a non-singular variety and φ a morphism of W onto U such that φ^iuo) = f{V) for some point u0 of U. Denote by ΣffO the set of all those complete non-singular fibres φ~(u), u e ί/, as we consider all possible (f, U, W). Suppose that...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1993
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181072497