- 作者: 阮希石
- 作者服務機構: 中央研究院數學所
- 中文摘要: 本論文的主題在於商奇異點的平滑解之存在問題,軌跡體俄樂數與平滑解拓撲量的關係是其討論的一個重點。我們將分別說明在維數2及3時,此種平滑解構造的步驟及相關題材。進而在較高維數的情形,就些實例來討論其性質,以及未來發展的方向。
- 英文摘要: In this note, we shall discuss crepant resolutions of quotient singularities and their connection withthe orbifold Euler characteristic. We shall review the procedures for constructing crepant resolutions indimension 2 and 3, and verify the equality of Euler numbers of resolutions with orbifold Euler charac-teristics. The higher dimensional problem will be discussed through examples.
- 中文關鍵字: orbifold; crepant resolution; orbifold Euler characteristic; toric geometry
- 英文關鍵字: --