Classification of log del Pezzo surfaces of index three
نویسندگان
چکیده
منابع مشابه
Classification of Log Del Pezzo Surfaces of Index Two
In this article, a log del Pezzo surface of index two means a projective normal non-Gorenstein surface S such that (S, 0) is a log-terminal pair, the anti-canonical divisor −KS is ample and that 2KS is Cartier. The log del Pezzo surfaces of index two are shown to be constructed from data (X,E,∆) called fundamental triplets consisting of a non-singular rational surface X, a simple normal crossin...
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Toric log del Pezzo surfaces correspond to convex lattice polygons containing the origin in their interior and having only primitive vertices. An upper bound on the volume and on the number of boundary lattice points of these polygons is derived in terms of the index l. Techniques for classifying these polygons are also described: a direct classification for index two is given, and a classifica...
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, or there are 22 possibilities for (a0, a1, a2, a3) found in [28]. It follows from [12], [28], [4], [1] that the inequality lct(X) > 2/3 holds in the case when X is singular and general. Example 1.4. Let X be a quasismooth hypersurface in P(a0, . . . , a4) of degree ∑4 i=0 ai − 1, where a0 6 a1 6 a2 6 a3 6 a4. Then lct(X) > 3/4 for 1936 values of (a0, a1, a2, a3, a4) (see [29]). Example 1.5. L...
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This is an expanded version of our work [AN88], 1988, in Russian. We classify del Pezzo surfaces over C with log terminal singularities (equivalently, quotient singularities) of index ≤ 2. By classification, we understand a description of the intersection graph of all exceptional curves on an appropriate (so-called “right”) resolution of singularities together with the subgraph of the curves wh...
متن کامل1 0 Ju n 20 06 CLASSIFICATION OF LOG DEL PEZZO SURFACES OF INDEX ≤
This is an expanded version of our work [AN88], 1988, in Russian. We classify del Pezzo surfaces over C with log terminal singularities (equivalently, quotient singularities) of index ≤ 2. By classification, we understand a description of the intersection graph of all exceptional curves on an appropriate (so-called “right”) resolution of singularities together with the subgraph of the curves wh...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2017
ISSN: 0025-5645
DOI: 10.2969/jmsj/06910163