English

Kodaira dimension of irregular varieties

Algebraic Geometry 2015-05-19 v1

Abstract

Let f:XYf:X\to Y be an algebraic fiber space with general fiber FF. If YY is of maximal Albanese dimension, we show that κ(X)κ(Y)+κ(F)\kappa (X)\geq \kappa (Y)+\kappa (F).

Keywords

Cite

@article{arxiv.1008.2404,
  title  = {Kodaira dimension of irregular varieties},
  author = {Jungkai Alfred Chen and Christopher D. Hacon},
  journal= {arXiv preprint arXiv:1008.2404},
  year   = {2015}
}