On a sufficient condition for a Fano manifold to be covered by rational $N$-folds

Abstract

In this paper, we prove a conjecture by T. Suzuki, which says if a smooth Fano manifold satisfies some positivity condition on its Chern character, then it can be covered by rational $N$-folds. We prove this conjecture by using purely combinatorial properties of Bernoulli numbers.

arXiv comment12pages

References in corpus (1)

• Higher order minimal families of rational curves and Fano manifolds with nef Chern characters