Quotient spaces of K3 surfaces by non-symplectic involutions fixing a curve of genus 8 or more

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2024-01-24 DOI:10.1515/advgeom-2023-0022

Taro Hayashi

引用次数: 0

Abstract

Let X be a K3 surface and let g be a non-symplectic involution of X such that the fixed points set contains a curve of genus 8 or more. In this paper, we show that the quotient space X/〈g〉 is determined by the fixed points set and the action of g on rational curves on X.

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固定 8 或更多属曲线的非交错渐开线的 K3 曲面的商空间

设 X 是一个 K3 曲面，设 g 是 X 的一个非交错内卷，使得定点集包含一条属 8 或以上的曲线。在本文中，我们将证明商空间 X/〈g〉是由定点集和 g 对 X 上有理曲线的作用决定的。

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

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.