{"title":"超曲面排列计算","authors":"Paul Breiding, Bernd Sturmfels, Kexin Wang","doi":"arxiv-2409.09622","DOIUrl":null,"url":null,"abstract":"We present a Julia package HypersurfaceRegions.jl for computing all connected\ncomponents in the complement of an arrangement of real algebraic hypersurfaces\nin $\\mathbb{R}^n$.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":"30 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computing Arrangements of Hypersurfaces\",\"authors\":\"Paul Breiding, Bernd Sturmfels, Kexin Wang\",\"doi\":\"arxiv-2409.09622\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a Julia package HypersurfaceRegions.jl for computing all connected\\ncomponents in the complement of an arrangement of real algebraic hypersurfaces\\nin $\\\\mathbb{R}^n$.\",\"PeriodicalId\":501063,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Geometry\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Algebraic Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.09622\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09622","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们提出了一个 Julia 软件包 HypersurfaceRegions.jl,用于计算 $\mathbb{R}^n$ 中实代数超曲面排列的补集中的所有连通部分。
We present a Julia package HypersurfaceRegions.jl for computing all connected
components in the complement of an arrangement of real algebraic hypersurfaces
in $\mathbb{R}^n$.