{"title":"平滑稳定地图的障碍","authors":"Fatemeh Rezaee, Mohan Swaminathan","doi":"arxiv-2407.01845","DOIUrl":null,"url":null,"abstract":"We describe an obstruction to smoothing stable maps in smooth projective\nvarieties, which generalizes some previously known obstructions. Our\nobstruction comes from the non-existence of certain rational functions on the\nghost components, with prescribed simple poles and residues.","PeriodicalId":501155,"journal":{"name":"arXiv - MATH - Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An obstruction to smoothing stable maps\",\"authors\":\"Fatemeh Rezaee, Mohan Swaminathan\",\"doi\":\"arxiv-2407.01845\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe an obstruction to smoothing stable maps in smooth projective\\nvarieties, which generalizes some previously known obstructions. Our\\nobstruction comes from the non-existence of certain rational functions on the\\nghost components, with prescribed simple poles and residues.\",\"PeriodicalId\":501155,\"journal\":{\"name\":\"arXiv - MATH - Symplectic Geometry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Symplectic Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.01845\",\"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 - Symplectic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.01845","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We describe an obstruction to smoothing stable maps in smooth projective
varieties, which generalizes some previously known obstructions. Our
obstruction comes from the non-existence of certain rational functions on the
ghost components, with prescribed simple poles and residues.
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