On images of weak Fano manifolds

Abstract

We consider a smooth projective morphism between smooth complex projective varieties. If the source space is a weak Fano (or Fano) manifold, then so is the target space. Our proof is Hodge theoretic. We do not need mod $p$ reduction arguments. We also discuss related topics and questions.

arXiv comment17 pages, v2:added Section 6

References in corpus (1)

• Globally $F$-regular and log Fano varieties

Cited by in corpus (2)

• Characterization of varieties of Fano type via singularities of Cox rings
• Characterization of log del Pezzo pairs via anticanonical models