Open surfaces of small volume

IF 1.7 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2016-12-29 DOI:10.14231/AG-2019-015

V. Alexeev, Wenfei Liu

引用次数: 18

Abstract

We construct a surface with log terminal singularities and ample canonical class that has $K_X^2=1/48 983$ and a log canonical pair $(X,B)$ with a nonempty reduced divisor $B$ and ample $K_X+B$ that has $(K_X+B)^2 = 1/462$. Both examples significantly improve known records.

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小体积的开放表面

我们构造了一个具有对数端点奇点的曲面和一个具有$K_X^2=1/ 48983 $的充足正则类和一个具有非空约除数$B$的对数正则对$(X,B)$和具有$(K_X+B)^2 = 1/462$的充足$K_X+B$。这两个例子都大大改进了已知的记录。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.