English

On some Fano 4-folds with Lefschetz defect 3

Algebraic Geometry 2020-07-22 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1907.01213,
  title  = {On some Fano 4-folds with Lefschetz defect 3},
  author = {Eleonora Anna Romano},
  journal= {arXiv preprint arXiv:1907.01213},
  year   = {2020}
}

Comments

Mistake in Theorem 1.0.1