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arXiv · 2103.16140

Fano 4-folds having a prime divisor of Picard number 1

Saverio Andrea Secci
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Abstract

We give a complete classification of smooth, complex projective Fano 4-folds of Picard number 3 having a prime divisor of Picard number 1. They form 28 distinct families, and we compute the main numerical invariants, study the base locus of the anticanonical divisor, and give a comment on rationality. Furthermore, we give an upper bound of both the dimension of the automorphism group and the dimension of the base of the Kuranishi family of a general member.

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Saverio Andrea Secci. 2021-03-30. Fano 4-folds having a prime divisor of Picard number 1. https://doi.org/10.1515/advgeom-2023-0002

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