- 學位論文
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
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摘要
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。
關鍵字
存在並列摘要
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.
並列關鍵字
Crepant Resolution參考文獻
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