{"title":"立方和 14 度 Fano 三折的稳定等变性","authors":"Yuri Tschinkel, Zhijia Zhang","doi":"arxiv-2409.08392","DOIUrl":null,"url":null,"abstract":"We develop an equivariant version of the Pfaffian-Grassmannian correspondence\nand apply it to produce examples of nontrivial twisted equivariant stable\nbirationalities between cubic threefolds and degree 14 Fano threefolds.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stable equivariant birationalities of cubic and degree 14 Fano threefolds\",\"authors\":\"Yuri Tschinkel, Zhijia Zhang\",\"doi\":\"arxiv-2409.08392\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We develop an equivariant version of the Pfaffian-Grassmannian correspondence\\nand apply it to produce examples of nontrivial twisted equivariant stable\\nbirationalities between cubic threefolds and degree 14 Fano threefolds.\",\"PeriodicalId\":501063,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Geometry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-12\",\"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-2409.08392\",\"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-2409.08392","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stable equivariant birationalities of cubic and degree 14 Fano threefolds
We develop an equivariant version of the Pfaffian-Grassmannian correspondence
and apply it to produce examples of nontrivial twisted equivariant stable
birationalities between cubic threefolds and degree 14 Fano threefolds.