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本期开始分组发送邮件,搭载数学类学院等链接。
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菲奖论文就像恋人,见天泡也会烦啊~
---- 这是此部分最后一个命题.(分配2~3周).
.
原作提示:
---| 希望用Pro.5.7 证明Th1.6.
---| 前者假定了额外的 Λ, 结合 Pro.5.5, 将问题约化为 toric 情形.
---| 以下将使用 complement 构造 Λ.
.
命题5.9的叙述.
---- 预配置: Th1.6 降维成立.
---- 主配置: (X, B), Qfp eps-lc.
---- 副配置: A, very ample, A^d ≤ r.
---- 附加1: L ≥ 0, lR-divisor.
---- 附加2: A - B, A - L, ample.
---- 附加3: (X, B + tL) eps'-lc, t ≤ r.
---- 附加4: a(T, X, B + tL) = eps'.
---- 附加5: center of T on X is a closed point x.
结果: 存在 Q-divisor Λ ≥ 0 使得:
---- 约束1: nΛ, integral.
---- 约束2: mA - Λ, ample.
---- 约束3: (X, Λ), lc near x.
---- 约束4: T, lc place of (X, Λ).
.
评论:此命题旨在构造 Λ. 图解:
(m)A L
. T|x
X B|(n)Λ
.
小结:该命题涉及三个相: B, B + tL, Λ. (前两个已知).
符号大全、上下标.|| 常用:↑↓ π ΓΔΛΘΩμφΣ∈ ∉ ∪ ∩ ⊆ ⊇ ⊂ ⊃ ≤ ≥ ⌊ ⌋ ⌈ ⌉ ≠ ≡ ⁻⁰ ¹ ² ³ ᵈ ₀ ₁ ₂ ₃ ᵢ .
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第一轮读写链接(按目录顺序)
Abstract 8/4
Introduction
Boundedness of singular Fano varieties (1) 8/5
Boundedness of singular Fano varieties (2) 8/6
Boundedness of singular Fano varieties (3) 8/7
Boundedness of singular Fano varieties (4) 8/8
Boundedness of singular Fano varieties (5) 8/9
Boundedness of singular Fano varieties (6) 8/9
Jordan property of Cremona groups 8/10
Lc thresholds of lR-linear systems 8/11
Lc thresholds of anti-log canonical systems of Fano pairs (1) 8/12
Lc thresholds of anti-log canonical systems of Fano pairs (2) 8/13
Lc thresholds of R-linear systems with bounded degree 8/14
Complements near a divisor 8/15
....
....
Proposition 5.211/9
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Proposition 5.5 11/5
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