Strictly nef divisors on K-trivial fourfolds

Abstract

In this paper, we prove the ampleness conjecture and Serrano's conjecture for strictly nef divisors on K-trivial fourfolds. Specifically, we show that any strictly nef divisors on projective fourfolds with trivial canonical bundle and vanishing irregularity are ample.

18 pages

Cited by in corpus (2)

• Strictly nef divisors on singular threefolds
• On the existence of rational curves on projective hyperkähler fourfolds