Corpus ID: 195776378

On some Fano 4-folds with Lefschetz defect 3

@article{Romano2019OnSF,
  title={On some Fano 4-folds with Lefschetz defect 3},
  author={E. Romano},
  journal={arXiv: Algebraic Geometry},
  year={2019}
}

E. Romano

Published 2019

Mathematics

arXiv: Algebraic Geometry

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We show that Fano 4-folds with Picard number 5 have Lefschetz defect 3 if and only if they are toric of combinatorial type $K$. We also find a characterization for such varieties in terms of Picard number of prime divisors. Moreover, we discuss classification results for 4-dimensional complex smooth projective varieties admitting some particular fiber type contractions.