The Picard index of a surface with torus action

IF 0.7 2区数学 Q2 MATHEMATICS

Collectanea Mathematica Pub Date : 2024-05-23 DOI:10.1007/s13348-024-00443-x

Justus Springer

引用次数: 0

Abstract

We consider normal rational projective surfaces with torus action and provide a formula for their Picard index, that means the index of the Picard group inside the divisor class group. As an application, we classify the log del Pezzo surfaces with torus action of Picard number one up to Picard index \( 10\,000 \).

Abstract Image

查看原文本刊更多论文

具有环作用的曲面的皮卡指数

我们考虑了具有环作用的正有理投影面，并给出了它们的皮卡尔指数（Picard index）的计算公式，这意味着皮卡尔群在除数类群内部的指数。作为应用，我们对具有皮卡尔数为 1 的环作用的对数德尔佩佐曲面进行了分类，直到皮卡尔指数 \( 10,000 \)为止。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Collectanea Mathematica 数学-数学

CiteScore

2.70

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： Collectanea Mathematica publishes original research peer reviewed papers of high quality in all fields of pure and applied mathematics. It is an international journal of the University of Barcelona and the oldest mathematical journal in Spain. It was founded in 1948 by José M. Orts. Previously self-published by the Institut de Matemàtica (IMUB) of the Universitat de Barcelona, as of 2011 it is published by Springer.