Lemma 6.4 . [02FC]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Lemma 6.4.

For every $U_{1}\subset\subset U$ , $\int_{U_{1}^{reg}}v<\infty$ iff $X$ is log terminal.

If $V$ is log terminal, then the Radon measure $\mu=j_{*}v$ satisfies $\mu=f\Omega^{n}$ with $f\in L^{1+\varepsilon}(U_{1},\Omega^{n})$ for some $\varepsilon>0$ .