三維度規範邊界之計算;Computing Threefold Canonical Thresholds

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/84747

Title:	三維度規範邊界之計算;Computing Threefold Canonical Thresholds
Authors:	陳正傑
Contributors:	數學系
Keywords:	三維度;規範邊界;計算;Threefolds;canonical thresholds
Date:	2020-12-08
Issue Date:	2020-12-09 10:50:16 (UTC+8)
Publisher:	科技部
Abstract:	最近證明出三維度規範邊界滿足升序鏈條件，並且完整刻劃在(1/2,1)開區間之三維度規範邊界。此計畫為最近工作的延伸，嘗試找出所有三維度規範邊界，以及尋找滿足升序鏈條件的應用，並考慮再加入邊界(X,B)情況的應用。 ;In my recent work, I show the ACC for threefold canonical thresholds and derive that threefold canonical thresholds in the open interval (1/2, 1) consists of \{ \frac{1}{2}+\frac{1}{n}\}_{n \ge 3} \cup \{ \frac{4}{5}\}. In this project, I study the characterization of threefold canonical thresholds and its applications. Also, I hope to generalize the ACC for threefold canonical thresholds to pair (X,B) and study its applications.
Relation:	財團法人國家實驗研究院科技政策研究與資訊中心
Appears in Collections:	[Department of Mathematics] Research Project

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