Some Kollár–Enoki Type Injectivity Theorems on Compact Kähler Manifolds

In this paper we prove some Kollár–Enoki type injectivity theorems on compact Kähler manifolds using the Hodge theory, the Bochner–Kodaira–Nakano identity and the analytic method provided by Fujino (Osaka J Math 49(3):833–852, 2012), Fujino and Matsumur (Trans Am Math Soc Ser B 8(27):849–884, 2021), Matsumura (J Algebraic Geom 27(2):305–337, 2018), Matsumura (Complex analysis and geometry, Springer, Tokyo, 2015). We have some straightforward corollaries. In particular, we will show that our injectivity theorem implies several Nadel type vanishing theorems on smooth projective manifolds.