{"title":"INVARIANTS OF THE SMOOTH STRUCTURE OF AN ALGEBRAIC SURFACE ARISING FROM THE DIRAC OPERATOR","authors":"V Ya Pidstrigach, A N Tyurin","doi":"10.1070/IM1993v040n02ABEH002167","DOIUrl":null,"url":null,"abstract":"We construct invariants of the smooth structure of an algebraic surface in terms of coupled Dirac operators. The invariants allow us to distinguish between del Pezzo surfaces and fake del Pezzo surfaces by their smooth structure.","PeriodicalId":158473,"journal":{"name":"Russian Academy of Sciences. Izvestiya Mathematics","volume":"376 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"49","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Academy of Sciences. Izvestiya Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1993v040n02ABEH002167","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 49
Abstract
We construct invariants of the smooth structure of an algebraic surface in terms of coupled Dirac operators. The invariants allow us to distinguish between del Pezzo surfaces and fake del Pezzo surfaces by their smooth structure.
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