Kähler-Einstein metrics for some quasi-smooth log del Pezzo surfaces
نویسندگان
چکیده
منابع مشابه
Kähler-einstein Metrics for Some Quasi-smooth Log Del Pezzo Surfaces
Recently Johnson and Kollár determined the complete list of anticanonically embedded quasi-smooth log del Pezzo surfaces in weighted projective 3-spaces. They also proved that many of those surfaces admit a KählerEinstein metric, and that some of them do not have tigers. The aim of this paper is to settle the question of the existence of KählerEinstein metrics and tigers for those surfaces for ...
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A log del Pezzo surface is a projective surface with quotient singularities such that its anticanonical class is ample. Such surfaces arise naturally in many different contexts, for instance in connection with affine surfaces [Miyanishi81], moduli of surfaces of general type [Alexeev94], 3 and 4 dimensional minimal model program [Alexeev93]. They also provide a natural testing ground for existe...
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Recall that a Del Pezzo surface is defined as an algebraic surface with ample anticanonical bundle K. Ampleness means that the line bundle K has a hermitian metric whose curvature form F is positive, defining a Kähler metric g0. This is the data for our construction – we take a holomorphic section σ of K, and the function f = log ‖σ‖. This function is singular on the zero set of σ (which is an ...
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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: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-03081-7