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

Caucher Birkar; Yifei Chen; Lei Zhang

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arXiv · 1507.08760

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

Caucher Birkar·Yifei Chen·Lei Zhang

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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.

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BibTeX RIS

Caucher Birkar, Yifei Chen, Lei Zhang. 2015-08-29. Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields. https://arxiv.org/abs/1507.08760

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