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用猜的办法来学习全新概念
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This is an in-mail from TYUST.
本期开始分组发送邮件，搭载数学类学院等链接。
用猜的办法来学习全新概念.
Step4. 第一段 (逐句评论).
All the assumptions of Proposition 5.5 are satisfied in our setting except that SuppB may contain some strata of (X, Λ) apart from x.
---- 此句表明，整个证明是向命题5.5的条件靠拢.
---- 现在只剩SuppB 与 stratum 的关系问题.
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We will modify B so that this assumption on support of B is also satisfied.
---- 将修改 B 使之满足“禁”的条件.
---- 后文整个围绕这件事展开(直到Step7).
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Since we are assuming Theorem 1.6 in dimension ≤ d - 1, by taking hyperplane sections, we find a positive number t depending only on d, r, eps such that (X, B + 2tB) is klt outside finitely many closed points.
---- 这里引用了定理1.6 (假定维度 ≤ d - 1).
---- 但定理1.6没有直接出现这里的结果(?).
---- 注意，这里出现新的配对(X, B + 2tB).
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In particular, (X, B + tB) is eps/2-lc outside these finitely many closed points because Kx + B + tB = 1/2(Kx + B) + 1/2(Kx + B + 2tB).
---- 这里出现另一配对 (X, B + tB).
---- 它是 (X, B) 和 (X, B + 2tB) 的凸组合.
---- 这里涉及到 “closed point”，但出处不详.
---- 暂时假设 closed point 以外 klt 相当于 0-lc.
---- 由此，1/2eps + 1/2·0 = 1/2eps (参 Lemma 2.3).
---- 没有出现矛盾，前述假设(暂时)成立.
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小结：Step4 第一段读写完毕.
https://blog.sciencenet.cn/blog-315774-1170748.html
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