English

Canonical Class Inequality for Fibred Spaces

Algebraic Geometry 2010-09-30 v2

Abstract

We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of 3-folds with smooth families of minimal surfaces of general type over a curve, c13<18c3c_1^3<18c_3.

Keywords

Cite

@article{arxiv.1009.5246,
  title  = {Canonical Class Inequality for Fibred Spaces},
  author = {Jun Lu and Sheng-Li Tan and Kang Zuo},
  journal= {arXiv preprint arXiv:1009.5246},
  year   = {2010}
}

Comments

9 pages

R2 v1 2026-06-21T16:19:32.092Z