TL;DR
This paper generalizes the analytic inversion of adjunction for log pairs using multiplier ideal sheaves, providing a comprehensive answer to Kollár's question.
Contribution
It introduces a generalized analytic inversion of adjunction via Nadel-Ohsawa multiplier ideal sheaves for log pairs, addressing Kollár's question in full generality.
Findings
Established a generalized analytic inversion of adjunction
Connected multiplier ideal sheaves with log pair properties
Provided a complete answer to Kollár's question
Abstract
In this note, we establish a generalized analytic inversion of adjunction via the Nadel-Ohsawa multiplier/adjoint ideal sheaves associated to plurisubharmonic (psh) functions for log pairs, by which we answer a question of Koll\'{a}r in full generality.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models