{"title":"三属中高阶不变子变量分类的简短证明","authors":"Paul Apisa","doi":"arxiv-2409.07603","DOIUrl":null,"url":null,"abstract":"We give a new short proof of the classification of rank at least two\ninvariant subvarieties in genus three, which is due to Aulicino, Nguyen, and\nWright. The proof uses techniques developed in recent work of Apisa and Wright.","PeriodicalId":501271,"journal":{"name":"arXiv - MATH - Geometric Topology","volume":"64 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A short proof of the classification of higher rank invariant subvarieties in genus three\",\"authors\":\"Paul Apisa\",\"doi\":\"arxiv-2409.07603\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a new short proof of the classification of rank at least two\\ninvariant subvarieties in genus three, which is due to Aulicino, Nguyen, and\\nWright. The proof uses techniques developed in recent work of Apisa and Wright.\",\"PeriodicalId\":501271,\"journal\":{\"name\":\"arXiv - MATH - Geometric Topology\",\"volume\":\"64 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Geometric Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.07603\",\"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 - Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07603","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A short proof of the classification of higher rank invariant subvarieties in genus three
We give a new short proof of the classification of rank at least two
invariant subvarieties in genus three, which is due to Aulicino, Nguyen, and
Wright. The proof uses techniques developed in recent work of Apisa and Wright.