Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields

Caucher Birkar; Yifei Chen; Lei Zhang

Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields

Algebraic Geometry 2015-09-01 v2

Authors: Caucher Birkar , Yifei Chen , Lei Zhang

Abstract

We prove Iitaka's $C_{n,m}$ conjecture for $3$ -folds over the algebraic closure of finite fields. Along the way we prove some results on the birational geometry of log surfaces over nonclosed fields and apply these to existence of relative good minimal models of $3$ -folds.

Keywords

Iitaka conjecture c_{n,m} conjecture 3-folds finite fields birational geometry log surfaces minimal models

Cite

@article{arxiv.1507.08760,
  title  = {Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields},
  author = {Caucher Birkar and Yifei Chen and Lei Zhang},
  journal= {arXiv preprint arXiv:1507.08760},
  year   = {2015}
}

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24 pages, references update

Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields

Abstract

Keywords

Cite

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