Extremal contractions of 2-Fano fourfolds

Abstract

We consider extremal contractions on smooth Fano fourfolds whose second Chern character is positive. We show that such contractions can neither be of fiber type nor contract a divisor to a point.

15 pages

References in corpus (2)

• A note on Fano manifolds whose second Chern character is positive
• Fano manifolds having (n-1,0)-type extremal rays with large Picard number