Corpus ID: 195776378

On some Fano 4-folds with Lefschetz defect 3

  title={On some Fano 4-folds with Lefschetz defect 3},
  author={E. Romano},
  journal={arXiv: Algebraic Geometry},
  • E. Romano
  • Published 2019
  • Mathematics
  • arXiv: Algebraic Geometry
  • 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. 


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