{"title":"STABLE RANK 3 VECTOR BUNDLES ON P3 WITH c1 = 0, c2 = 3","authors":"I. Coandă","doi":"10.59277/rrmpa.2023.33.66","DOIUrl":null,"url":null,"abstract":"We clarify the undecided case c2 = 3 of a result of Ein, Hartshorne and Vogelaar [8] about the restriction of a stable rank 3 vector bundle with c1 = 0 on the projective 3-space to a general plane. It turns out that there are more exceptions to the stable restriction property than those conjectured by the three authors. One of them is a Schwarzenberger bundle (twisted by −1); it has c3 = 6. There are also some exceptions with c3 = 2 (plus, of course, their duals).","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"50 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.59277/rrmpa.2023.33.66","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
We clarify the undecided case c2 = 3 of a result of Ein, Hartshorne and Vogelaar [8] about the restriction of a stable rank 3 vector bundle with c1 = 0 on the projective 3-space to a general plane. It turns out that there are more exceptions to the stable restriction property than those conjectured by the three authors. One of them is a Schwarzenberger bundle (twisted by −1); it has c3 = 6. There are also some exceptions with c3 = 2 (plus, of course, their duals).
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