Del Pezzo surfaces with $$\frac{1}{3}(1,1)$$ 1 3 ( 1 , 1 ) points
نویسندگان
چکیده
منابع مشابه
Nonnormal Del Pezzo Surfaces
0.1 Throughout this paper, a del Pezzo surface is by definition a connected, 2-dimensional, projective k-scheme X,OX(1) that is Gorenstein and anticanonically polarised; in other words, X is Cohen–Macaulay, and the dualising sheaf is invertible and antiample: ωX ∼= OX(−1). For example, X = X3 ⊂ P 3 an arbitrary hypersurface of degree 3. Under extra conditions, del Pezzo surfaces are interesting...
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In this paper we show that del Pezzo surfaces of degree 1 with Du Val singular points of type A4, A4 + A4, A4 + A3, A4 + 2A1, A4 + A1, A3 + 4A1, A3 + 3A1, 2A3 + 2A1, A3 + 2A1, A3 + A1, 2A3, A3, admit a Kähler-Einstein metric. Moreover we are going to compute global log canonical thresholds of del Pezzo surfaces of degree 1 with Du Val singularities, and of del Pezzo surfaces of Picard group Z w...
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I construct normal del Pezzo surfaces, and regular weak del Pezzo surfaces as well, with positive irregularity q > 0. This can happen only over nonperfect fields. The surfaces in question are twisted forms of nonnormal del Pezzo surfaces, which were classified by Reid. The twisting is with respect to the flat topology and infinitesimal group scheme actions. The twisted surfaces appear as generi...
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2016
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-016-0870-y