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VOL. 70 | 2016 Sources of log canonical centers
János Kollár

Editor(s) János Kollár, Osamu Fujino, Shigeru Mukai, Noboru Nakayama

Abstract

Given a log canonical pair $(X,\Delta)$ and a log canonical center $Z\subset X$, we define a Calabi–Yau fiber space $(S,\Delta_S)\to Z$, called the source of $Z$. We believe that the source carries – and makes accessible – all the relevant information about the log canonical center $Z$. There is a natural Poincaré residue map from $X$ to $S$ which is used to solve several problems in higher-codimension adjunction. The main application is to the construction of semi-log-canonical pairs.

Information

Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 1369.14013
MathSciNet: MR3617777

Digital Object Identifier: 10.2969/aspm/07010029