{"title":"The canonical ideal and the deformation theory of curves with automorphisms","authors":"Aristides Kontogeorgis, Alexios Terezakis","doi":"10.1016/j.jpaa.2025.108002","DOIUrl":null,"url":null,"abstract":"<div><div>The deformation theory of curves is studied by using the canonical ideal. The deformation problem of curves with automorphisms is reduced to a deformation problem of linear representations.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 8","pages":"Article 108002"},"PeriodicalIF":0.7000,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404925001410","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The deformation theory of curves is studied by using the canonical ideal. The deformation problem of curves with automorphisms is reduced to a deformation problem of linear representations.
期刊介绍:
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.