K^2 = 6的燃烧曲面上的对数正则阈值

IF 0.6 4区数学 Q3 MATHEMATICS

Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI:10.11650/tjm/220605

In-kyun Kim, Y. Shin

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引用次数: 0

摘要

．设S为一个Burniat曲面，其中K 2 S = 6， φ为S的双标准映射。本文通过Klein群G，给出了由φ诱导的S的多正则次线性系统的对数正则阈值的最优下界。实际上，对于正偶数m，一个不变量(正则表达式)的成员的对数正则阈值。逆不变)部分| mK S |大于或等于1 / (2 m)(相对于。1 / (2 m−2))。对于正奇数m，不变量(正则表达式)的成员的对数正则阈值。逆不变)部分| mK S |大于等于1 / (2 m−5)(p < 0.05)。1 / (2m))。不等式都是最优的。

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Log Canonical Thresholds on Burniat Surfaces with $K^2 = 6$ via Pluricanonical Divisors

. Let S be a Burniat surface with K 2 S = 6 and ϕ be the bicanonical map of S . In this paper we show optimal lower bounds of log canonical thresholds of members of pluricanonical sublinear systems of S via Klein group G induced by ϕ . Indeed, for a positive even integer m , the log canonical threshold of members of an invariant (resp. anti-invariant) part of | mK S | is greater than or equal to 1 / (2 m ) (resp. 1 / (2 m − 2)). For a positive odd integer m , the log canonical threshold of members of an invariant (resp. anti-invariant) part of | mK S | is greater than or equal to 1 / (2 m − 5) (resp. 1 / (2 m )). The inequalities are all optimal.

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来源期刊

Taiwanese Journal of Mathematics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.