{"title":"有超平面奇点的积分的残差公式","authors":"Andrew O'Desky","doi":"arxiv-2408.12586","DOIUrl":null,"url":null,"abstract":"We prove a new residue formula for integrals with singularities along affine\nhyperplanes. Our formula makes use of a notion for real matrices called\nstability which is inspired by ideas from total positivity.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"16 3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A residue formula for integrals with hyperplane singularities\",\"authors\":\"Andrew O'Desky\",\"doi\":\"arxiv-2408.12586\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a new residue formula for integrals with singularities along affine\\nhyperplanes. Our formula makes use of a notion for real matrices called\\nstability which is inspired by ideas from total positivity.\",\"PeriodicalId\":501142,\"journal\":{\"name\":\"arXiv - MATH - Complex Variables\",\"volume\":\"16 3 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Complex Variables\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.12586\",\"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 - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.12586","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A residue formula for integrals with hyperplane singularities
We prove a new residue formula for integrals with singularities along affine
hyperplanes. Our formula makes use of a notion for real matrices called
stability which is inspired by ideas from total positivity.
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