English

Fibrations on four-folds with trivial canonical bundles

Algebraic Geometry 2015-12-01 v1

Abstract

Four-folds with trivial canonical bundles are divided into six classes according to their holonomy group. We consider examples that are fibred by abelian surfaces over the projective plane. We construct such fibrations in five of the six classes, and prove that there is no such fibration in the sixth class. We classify all such fibrations whose generic fibre is the Jacobian of a genus two curve.

Keywords

Cite

@article{arxiv.0904.0273,
  title  = {Fibrations on four-folds with trivial canonical bundles},
  author = {Justin Sawon},
  journal= {arXiv preprint arXiv:0904.0273},
  year   = {2015}
}

Comments

28 pages