{"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}
引用次数: 0
Abstract
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.