منابع مشابه
Gorenstein Toric Fano Varieties
We investigate Gorenstein toric Fano varieties by combinatorial methods using the notion of a reflexive polytope which appeared in connection to mirror symmetry. The paper contains generalisations of tools and previously known results for nonsingular toric Fano varieties. As applications we obtain new classification results, bounds of invariants and formulate conjectures concerning combinatoria...
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We characterize building sets whose associated nonsingular projective toric varieties are Fano. Furthermore, we show that all such toric Fano varieties are obtained from smooth Fano polytopes associated to finite directed graphs.
متن کاملToric Fano Varieties and Birational Morphisms
Smooth toric Fano varieties are classified up to dimension 4. In dimension 2, there are five toric Del Pezzo surfaces: P, P1×P1, and Si, the blowup of P in i points, for i = 1, 2, 3. There are 18 toric Fano 3-folds [2, 20] and 124 toric Fano 4-folds [4, 17]. In higher dimensions, little is known about them and many properties that hold in low dimensions are not known to hold in general. Let X b...
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We give a structure theorem for n-dimensional smooth toric Fano varieties whose associated polytope has “many” pairs of centrally symmetric vertices. Introduction. Smooth toric Fano varieties, together with their equivariant birational contractions, have been intensively studied in recent years: see [WW82, Bat82, Bat99, Sat00, Bon00, Cas01b, Cas01c, Sat02]. In some cases, the toric case has bee...
متن کاملToric Fano Varieties and Convex Polytopes
Attention is drawn to the fact that copyright of this thesis rests with its author. This copy of the thesis has been supplied on the condition that anyone who consults it is understood to recognise that its copyright rests with its author and that no quotation from the thesis and no information derived from it may be publishedwithout the prior written consent of the author. This thesis may be m...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2020
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa190430-5-12