# 轴心之问

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(接前：29 26 25) 命题5.7的证明.
Step3. 第二段 (逐句评论).
On the other hand, we can choose φ: W --> X and Aw so that Aw - Θw, 1/2Aw + Kw, 1/2Aw - (Kw + Bw), and Aw - Lw are all ampe where Lw is the pullback of L.
---- 能选择φ和 Aw 使得一大堆量 ample.
---- 怎么选择 ? 或为何能选择 ?
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In particular, Aw - Bw is ample, hence Aw - Δw = α(Aw - Bw) + (1 - α)(Aw - Θw) is ample too.
---- 丰量的凸组合仍为丰量.
---- 上一句提及的一大堆丰量后文似乎并未用到.
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Step3. 第三段(逐句评论).
Now after replacing eps with δ, replacing P with Q, and replacing r approriately, we can replace X, B, A, L, Λ, x with W, Δw, Aw, Lw, Θw, ω, respectively.
---- Step3的真正轴心在这里！
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In particular, (X, Λ) is log smooth with Λ reduced.
---- 条件中的 (X, Λ) 是 “局部 lc”.
---- 但这里推导出它也是(全局) ls.
---- 难道这句话才是真正的轴心 ?
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Note that we can assume x is still a closed point, by Step 1.
---- we can assume...
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#### Glossary(AG)

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Introduction
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