Pure and Applied Mathematics Quarterly
Volume 11 (2015)
An $L^2$ injectivity theorem and its application
Pages: 369 – 392
We prove an $L^2$ injectivity theorem which generalizes the injectivity theorems of J. Kollár and I. Enoki. As an application, we give the proof of a Fujino’s conjecture under a certain semi-positivity assumption.
$L^2$ cohomology, $L^2$ Dolbeault lemma, vanishing theorem