{"title":"同调过量相交公式的全局证明","authors":"Oscar Finegan","doi":"arxiv-2406.17485","DOIUrl":null,"url":null,"abstract":"We provide a novel proof of the homological excess intersection formula for\nlocal complete intersections. The novelty is that the proof makes use of global\nmorphisms comparing the intersections to a self intersection.","PeriodicalId":501135,"journal":{"name":"arXiv - MATH - Category Theory","volume":"15 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A global proof of the homological excess intersection formula\",\"authors\":\"Oscar Finegan\",\"doi\":\"arxiv-2406.17485\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We provide a novel proof of the homological excess intersection formula for\\nlocal complete intersections. The novelty is that the proof makes use of global\\nmorphisms comparing the intersections to a self intersection.\",\"PeriodicalId\":501135,\"journal\":{\"name\":\"arXiv - MATH - Category Theory\",\"volume\":\"15 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Category Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2406.17485\",\"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 - Category Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.17485","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A global proof of the homological excess intersection formula
We provide a novel proof of the homological excess intersection formula for
local complete intersections. The novelty is that the proof makes use of global
morphisms comparing the intersections to a self intersection.
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