منابع مشابه
Deformations of Q-calabi-yau 3-folds and Q-fano 3-folds of Fano Index 1
In this article, we prove that any Q-Calabi-Yau 3-fold with only ordinary terminal singularities and any Q-Fano 3-fold of Fano index 1 with only terminal singularities have Q-smoothings.
متن کاملOn Fano Indices of Q-fano 3-folds
We shall give the best possible upper bound of the Fano indices together with a characterization of those Q-Fano 3-folds which attain the maximum in terms of graded rings. 0. Introduction Q-Fano 3-folds play important roles in birational algebraic geometry. They have been studied by several authors since G. Fano. In this paper, we study Q-Fano 3-folds from the view of their Fano indices (See de...
متن کاملToric Fano 3-folds with Terminal Singularities
This paper classifies all toric Fano 3-folds with terminal singularities. This is achieved by solving the equivalent combinatoric problem; that of finding, up to the action of GL(3, Z), all convex polytopes in Z which contain the origin as the only non-vertex lattice point. 0. Background and Introduction A toric variety of dimension n over an algebraically closed field k is a normal variety X t...
متن کاملDeformations of Weak Fano 3-folds with Only Terminal Singularities
In this article, we prove that any Q-factorial weak Fano 3-fold with only terminal singularities has a smoothing. 0. Introduction Definition 0.1. Let X be a normal Gorenstein projective variety of dimension 3 over C which has only terminal singularities. (1) If −KX is ample, we call X a Fano 3-fold. (2) If −KX is nef and big, we call X a weak Fano 3-fold. Definition 0.2. Let X be a normal Goren...
متن کاملVector Bundles on Fano 3-folds without Intermediate Cohomology
A well-known result of Horrocks (see [Ho]) states that a vector bundle on a projective space has not intermediate cohomology if and only if it decomposes as a direct sum of line bundles. There are two possible generalizations of this result to arbitrary varieties. The first one consists of giving a cohomological characterization of direct sums of line bundles. This has been done for quadrics an...
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ژورنال
عنوان ژورنال: Japan Journal of Industrial and Applied Mathematics
سال: 2007
ISSN: 0916-7005,1868-937X
DOI: 10.1007/bf03167538