{"title":"Bott-Chern characteristic classes of blow-ups","authors":"Xiaojun Wu, Song Yang, Xiangdong Yang","doi":"arxiv-2408.03210","DOIUrl":null,"url":null,"abstract":"We prove a blow-up formula for Bott-Chern characteristic classes of compact\ncomplex manifolds. To this end, we establish a version of Riemann-Roch without\ndenominators for the Bott-Chern characteristic classes. In particular, as an\napplication, we study the behaviour of the Bott-Chern characteristic classes of\nthe Iwasawa manifold under a blow-up transformation.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":"161 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.03210","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 prove a blow-up formula for Bott-Chern characteristic classes of compact
complex manifolds. To this end, we establish a version of Riemann-Roch without
denominators for the Bott-Chern characteristic classes. In particular, as an
application, we study the behaviour of the Bott-Chern characteristic classes of
the Iwasawa manifold under a blow-up transformation.
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