Canonical Thresholds of Brieskorn Singularities

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陳曦(Xi Chen) 查詢紙本館藏

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數學系

論文名稱

(Canonical Thresholds of Brieskorn Singularities)

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至系統瀏覽論文 (2027-1-1以後開放)

摘要(中)

我們給出了任意維度的 Brieskorn 奇異點的 canonical thresholds 的顯式公式。它們是通過加權的 blow up 來計算的。

摘要(英)

We give an explicit formula for the canonical thresholds of Brieskorn singularities in any dimension. They are computed by weighted blow ups.

關鍵字(中)

★ 代數幾何

關鍵字(英)

論文目次

1 Introduction 1
2 Definitions and Facts 3
2.1 Basic Terminologies of Theory of Toric Varieties 3
2.2 Criteria for the Smoothness of Toric Varieties 5
2.3 Basic Terminologies of Theory Divisors 6
2.4 Weighted Blowing Up and Canonical Threshold 8
2.5 Brieskorn Singularities and Cyclic Quotient Singularities 10
3 Lemmas 13
4 Main result 15
5 Example 18

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指導教授

陳正傑

審核日期

2025-1-21

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