K-stability of log del Pezzo hypersurfaces with index 2
نویسندگان
چکیده
We completely classify K-stability of log del Pezzo hypersurfaces with index 2.
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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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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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 (somewhat stronger than minimal) resolution of singularities together with the subgraph of ...
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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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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2022
ISSN: ['1793-6519', '0129-167X']
DOI: https://doi.org/10.1142/s0129167x22500707