Fano threefolds of large Fano index and large degree
نویسندگان
چکیده
منابع مشابه
Canonical Toric Fano Threefolds
An inductive approach to classifying all toric Fano varieties is given. As an application of this technique, we present a classification of the toric Fano threefolds with at worst canonical singularities. Up to isomorphism, there are 674,688 such varieties.
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Introduction In the 1970s, Reid introduced the graded rings method for the explicit classification of surfaces, which he used to produce a list of 95 K3 quasi-smooth hypersurfaces in weighted projective spaces (which were proved to be the only ones). Later, Fletcher used this method to create more lists of different weighted complete intersections. From the K3 surfaces he developed two lists of...
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Building on the work of Nogin [17], we prove that the braid group B4 acts transitively on full exceptional collections of vector bundles on Fano threefolds with b2 = 1 and b3 = 0. Equivalently, this group acts transitively on the set of simple helices (considered up to a shift in the derived category) on such a Fano threefold. We also prove that on threefolds with b2 = 1 and very ample anticano...
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ژورنال
عنوان ژورنال: Sbornik: Mathematics
سال: 2013
ISSN: 1064-5616,1468-4802
DOI: 10.1070/sm2013v204n03abeh004304