NEW EXAMPLES OF CYLINDRICAL FANO FOURFOLDS - Archive ouverte HAL
Article Dans Une Revue Advanced Studies in Pure Mathematics. Année : 2017

NEW EXAMPLES OF CYLINDRICAL FANO FOURFOLDS

Résumé

We produce new families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of form Z × A 1 , where Z is a quasiprojective variety. The affine cones over such a fourfold admit effective G a-actions. Similar constructions of cylindrical Fano threefolds and fourfolds were done previously in [KPZ11, KPZ14, PZ15].
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Dates et versions

hal-01172744 , version 1 (07-07-2015)

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Yuri Prokhorov, Mikhail Zaidenberg. NEW EXAMPLES OF CYLINDRICAL FANO FOURFOLDS. Advanced Studies in Pure Mathematics., 2017, Algebraic Varieties and Automorphism Groups, 75, pp.443-464. ⟨10.2969/aspm/07510443⟩. ⟨hal-01172744⟩
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