On the canonical bundle formula for abelian fiber spaces in positive characteristic
type: Item
instance of: scholarly article
title: On the canonical bundle formula for abelian fiber spaces in positive characteristic
zbMATH Open document ID: 1230.14053
author: Masaya Yasuda
published in: Kodai Mathematical Journal
publication date: 2011-05-18T00:00:00Z
review text: A canonical bundle formula is given for \(n+1\) dimensional varieties \(X\) that admit a morphism \(f:X\to C\) onto a curve, such that \(f_*\mathcal{O}_X=\mathcal{O}_C\) and almost all fibers are abelian varieties. Particular interest is given to the question when (and which) multiple of the canonical sheaf yields the structure of the abelian fiber space. In particular, if the characteristic of the base field is zero, \(X\) is a threefold and the Kodaira dimension of \(X\) equals one then \(14K_X\) yields this structure, and this is the optimal value within this class of examples.
reviewed by: Remke Kloosterman
Mathematics Subject Classification ID: 14J27
zbMATH DE Number: 5895859
zbMATH Keywords: canonical bundle formula
zbMATH Keywords: abelian fiber space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1301576761
OpenAlex ID: W2054600997
DOI: 10.2996/KMJ/1301576761
description: scientific article; zbMATH DE number 5895859