對角超曲面上奇異點解析的存在性問題; Existence Problems about Crepant Resolutions of Diagonal Hypersurfaces

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7946

Title:	對角超曲面上奇異點解析的存在性問題;Existence Problems about Crepant Resolutions of Diagonal Hypersurfaces
Authors:	李忠逵;Chung-Kuei Lee
Contributors:	數學研究所
Keywords:	存在;Crepant Resolution
Date:	2008-06-17
Issue Date:	2009-09-22 11:09:50 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	在這篇文章中，我們使用 weighted blowup 為工具，對一些 C^n+1 中的對角超曲面作出了Crepant Resolution。我們也發現了幾條 n維 variety 沒有 Crepant Reolutions的充分條件。搭配上 Grothendieck 的部份研究結果，我們給出了有效率發現沒有 Crepant Resolution 的對角超曲面的方法。 In this article, we use the weighted blowup to determine some diagonal hypersurfaces in Cn+1 which admit crepant resolutions. We also find some sufficient conditions on n-dimensional varieties such that they have no crepant resolutions. Together with Grothendieck’s result, we provide an effective way to find diagonal hypersurfaces without crepant resolutions.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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