{"title":"仿射空间的像","authors":"Ivan Arzhantsev","doi":"10.1016/j.indag.2023.03.001","DOIUrl":null,"url":null,"abstract":"<div><p>We prove that every non-degenerate toric variety, every homogeneous space<span> of a connected linear algebraic group<span> without non-constant invertible regular functions, and every variety covered by affine spaces<span> admit a surjective morphism from an affine space.</span></span></span></p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"On images of affine spaces\",\"authors\":\"Ivan Arzhantsev\",\"doi\":\"10.1016/j.indag.2023.03.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We prove that every non-degenerate toric variety, every homogeneous space<span> of a connected linear algebraic group<span> without non-constant invertible regular functions, and every variety covered by affine spaces<span> admit a surjective morphism from an affine space.</span></span></span></p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0019357723000228\",\"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://www.sciencedirect.com/science/article/pii/S0019357723000228","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We prove that every non-degenerate toric variety, every homogeneous space of a connected linear algebraic group without non-constant invertible regular functions, and every variety covered by affine spaces admit a surjective morphism from an affine space.
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