Log Calabi-Yau fibrations
Algebraic Geometry
2018-11-29 v2
Abstract
In this paper we study boundedness properties and singularities of log Calabi-Yau fibrations, particularly those admitting Fano type structures. A log Calabi-Yau fibration roughly consists of a pair with good singularities and a projective morphism such that is numerically trivial over . This class includes many central ingredients of birational geometry such as Calabi-Yau and Fano varieties and also fibre spaces of such varieties, flipping and divisorial contractions, crepant models, germs of singularities, etc.
Keywords
Cite
@article{arxiv.1811.10709,
title = {Log Calabi-Yau fibrations},
author = {Caucher Birkar},
journal= {arXiv preprint arXiv:1811.10709},
year = {2018}
}
Comments
Version 2: 66 pages, further results are announced at the end of the introduction whose proofs will appear in a sequel joint paper, otherwise the paper is identical to version 1