Normal del Pezzo surfaces of rank one with log canonical singularities
نویسندگان
چکیده
منابع مشابه
Log Canonical Thresholds of Del Pezzo Surfaces
, 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...
متن کاملDel Pezzo Surfaces with Du Val Singularities
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...
متن کاملOn the Combinatorial Classification of Toric Log Del Pezzo Surfaces
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...
متن کاملClassification 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...
متن کاملA Boundedness Result for Toric Log Del Pezzo Surfaces
In this paper we give an upper bound for the Picard number of the rational surfaces which resolve minimally the singularities of toric log Del Pezzo surfaces of given index l. This upper bound turns out to be a quadratic polynomial in the variable l.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2012
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.02.026