Definition 6.14.124E814A4EB7D1

Definition 6.14.12.4E814A4EB7D1 Let $X$ be a compact Kähler manifold. A quasi-plurisubharmonic function $\varphi $ on $X$ has gentle analytic singularities of type $(c,\mathfrak a)$ if it has analytic singularities of type $(c,\mathfrak a)$, the function $\exp (\varphi /c)$ is smooth on $X$, including at its zeros, and on every log resolution $\pi $ of $\mathfrak a$, with $\pi ^*\mathfrak a=\mathcal O(-D)$, one has locally