English

Manifolds with nef anticanonical bundle

Algebraic Geometry 2017-10-30 v2 Complex Variables

Abstract

Let X be a compact K\"ahler manifold such that the anticanonical bundle KX-K_X is nef. A classical conjecture claims that the Albanese map is submersive. We prove this conjecture if the general fibre is a weak Fano manifold. If X is projective we prove the conjecture also for fibres of dimension at most two.

Keywords

Cite

@article{arxiv.1305.1018,
  title  = {Manifolds with nef anticanonical bundle},
  author = {Junyan Cao and Andreas Höring},
  journal= {arXiv preprint arXiv:1305.1018},
  year   = {2017}
}

Comments

39 pages, changed metadata

R2 v1 2026-06-22T00:11:42.925Z