On the second exterior power of tangent bundles of Fano fourfolds with Picard number $rho(X)geqslant2$

Abstract

In this paper, we classify Fano fourfolds whose the second exterior power of tangent bundles are numerically effective with Picard number greater than one.

14 pages, v2: minor change

References in corpus (1)

• Extremal contractions from 4-dimensional manifolds to 3-folds

Cited by in corpus (3)

• On the second and third exterior power of tangent bundles of Fano manifolds with birational contractions
• Extremal rays and nefness of tangent bundles
• Positivity of the second exterior power of the tangent bundles