Mathematical Research Letters
Volume 23 (2016)
On Fano varieties whose effective divisors are numerically eventually free
Pages: 771 – 804
In this paper we classify mildly singular Fano varieties with maximal Picard number whose effective divisors are numerically eventually free. In addition, we prove that if a Del Pezzo surface of degree $r$ admits a finite morphism of degree $\gt 1$ onto a Del Pezzo surface of degree $s$, then either $r = s \geqslant 6$, or $r \lt s$ and $s \geqslant 8$.
Published 8 July 2016