References & Citations
Mathematics > Algebraic Geometry
Title: Log Calabi-Yau fibrations
(Submitted on 26 Nov 2018 (v1), last revised 28 Nov 2018 (this version, 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 $(X,B)$ with good singularities and a projective morphism $X\to Z$ such that $K_X+B$ is numerically trivial over $Z$. 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.
Submission history
From: Caucher Birkar [view email][v1] Mon, 26 Nov 2018 22:03:12 GMT (56kb)
[v2] Wed, 28 Nov 2018 11:10:54 GMT (56kb)
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