TL;DR
This paper discusses recent advances in the theory of adjunction and inversion of adjunction, clarifying their relationships and extending understanding of log canonical centers in algebraic geometry.
Contribution
It introduces new results on inversion of adjunction and clarifies its connection with Hacon's work for log canonical centers of any codimension.
Findings
New results on inversion of adjunction
Clarification of relationship with Hacon's inversion of adjunction
Extension to log canonical centers of arbitrary codimension
Abstract
We first announce our recent result on adjunction and inversion of adjunction. Then we clarify the relationship between our inversion of adjunction and Hacon's inversion of adjunction for log canonical centers of arbitrary codimension.
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