{"title":"On threefolds with the smallest nontrivial monodromy group","authors":"Serge Lvovski","doi":"10.2422/2036-2145.202204_004","DOIUrl":null,"url":null,"abstract":". Using an adjunction-theoretic result due to A. J. Sommese together with a proposition from SGA7, we obtain a complete list of smooth threefolds for which the monodromy group acting on H 2 of its smooth hyperplane section is Z / 2 Z . The possibility of such a classification was announced by F. L. Zak in 1991.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"139 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2422/2036-2145.202204_004","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
. Using an adjunction-theoretic result due to A. J. Sommese together with a proposition from SGA7, we obtain a complete list of smooth threefolds for which the monodromy group acting on H 2 of its smooth hyperplane section is Z / 2 Z . The possibility of such a classification was announced by F. L. Zak in 1991.
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