Versions of injectivity and extension theorems

Yoshinori Gongyo; Shin Ichi Matsumura

doi:10.24033/asens.2325

Versions of injectivity and extension theorems

Yoshinori Gongyo, Shin Ichi Matsumura

SCI - Mathematics

The University of Tokyo

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We give an analytic version of the injectivity theorem by using multiplier ideal sheaves of singular hermitian metrics, and prove extension theorems for the log canonical bundle of dlt pairs. Moreover we obtain partial results related to the abundance conjecture in birational geometry and the semi-ampleness conjecture for hyperKähler manifolds.

Original language	English
Pages (from-to)	479-502
Number of pages	24
Journal	Annales Scientifiques de l'Ecole Normale Superieure
Volume	50
Issue number	2
DOIs	https://doi.org/10.24033/asens.2325
Publication status	Published - 2017 Mar 1

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Versions of injectivity and extension theorems

Abstract

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