ON CYLINDRICAL SMOOTH RATIONAL FANO FOURFOLDS

We construct new families of smooth Fano fourfolds with Picard rank 1 which contain open 1-cylinders, that is, Zariski open subsets of the form Z × 1, where Z is a quasiprojective variety. In particular, we show that every Mukai fourfold of genus 8 is cylindrical and there exists a family of cylindr...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 59; no. 1; pp. 87 - 103
Main Authors Hang, Nguyen Thi Anh, Hoff, Michael, Truong, Hoang Le
Format Journal Article
LanguageKorean
Published 2022
Subjects
Fano variety
cylinders
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Summary:We construct new families of smooth Fano fourfolds with Picard rank 1 which contain open 1-cylinders, that is, Zariski open subsets of the form Z × 1, where Z is a quasiprojective variety. In particular, we show that every Mukai fourfold of genus 8 is cylindrical and there exists a family of cylindrical Gushel-Mukai fourfolds.
Bibliography:KISTI1.1003/JNL.JAKO202207554672992
ISSN:0304-9914