确定对称平面曲线的所有$（2，3）$环面结构

Pub Date : 2018-10-01 DOI:10.4310/ARKIV.2018.V56.N2.A9

R. Kloosterman

{"title":"确定对称平面曲线的所有$（2，3）$环面结构","authors":"R. Kloosterman","doi":"10.4310/ARKIV.2018.V56.N2.A9","DOIUrl":null,"url":null,"abstract":"In this paper, we describe all (2, 3)-torus structures of a highly symmetric 39-cuspidal degree 12 curve. A direct computer-aided determination of these torus structures seems to be out of reach. We use various quotients by automorphisms to find torus structures. We use a height pairing argument to show that there are no further structures.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Determining all $(2, 3)$-torus structures of a symmetric plane curve\",\"authors\":\"R. Kloosterman\",\"doi\":\"10.4310/ARKIV.2018.V56.N2.A9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we describe all (2, 3)-torus structures of a highly symmetric 39-cuspidal degree 12 curve. A direct computer-aided determination of these torus structures seems to be out of reach. We use various quotients by automorphisms to find torus structures. We use a height pairing argument to show that there are no further structures.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2018-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/ARKIV.2018.V56.N2.A9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/ARKIV.2018.V56.N2.A9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

在本文中，我们描述了高度对称的39尖度12曲线的所有（2，3）-环面结构。用计算机直接确定这些环面结构似乎是遥不可及的。我们使用自同构的各种商来寻找环面结构。我们使用高度配对参数来表明没有进一步的结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

Determining all $(2, 3)$-torus structures of a symmetric plane curve

In this paper, we describe all (2, 3)-torus structures of a highly symmetric 39-cuspidal degree 12 curve. A direct computer-aided determination of these torus structures seems to be out of reach. We use various quotients by automorphisms to find torus structures. We use a height pairing argument to show that there are no further structures.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助