Log-canonical thresholds in real and complex dimension 2
نویسندگان
چکیده
منابع مشابه
On Real Log Canonical Thresholds
We introduce real log canonical threshold and real jumping numbers for real algebraic functions. A real jumping number is a root of the b-function up to a sign if its difference with the minimal one is less than 1. The real log canonical threshold, which is the minimal real jumping number, coincides up to a sign with the maximal pole of the distribution defined by the complex power of the absol...
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Let X be a smooth hypersurface of degree n ≥ 3 in P. We prove that the log canonical threshold of H ∈ |−KX| is at least n−1 n . Under the assumption of the Log minimal model program, we also prove that a hyperplane section H of X is a cone in P over a smooth hypersurface of degree n in P if and only if the log canonical threshold of H is n−1 n . Bibliography : 20 titles.
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We prove that the log canonical thresholds of a large class of binomial ideals, such as complete intersection binomial ideals and the defining ideals of space monomial curves, are computable by linear programming.
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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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We treat two different topics on the log minimal model program, especially for four-dimensional log canonical pairs. (a) Finite generation of the log canonical ring in dimension four. (b) Abundance theorem for irregular fourfolds. We obtain (a) as a direct consequence of the existence of fourdimensional log minimal models by using Fukuda’s theorem on the four-dimensional log abundance conjectur...
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ژورنال
عنوان ژورنال: Annales de l'Institut Fourier
سال: 2018
ISSN: 1777-5310
DOI: 10.5802/aif.3229