Multiplier ideal sheaves in complex and algebraic geometry
Multiplier ideal sheaves in complex and algebraic geometry
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DOI：
10.1007/bf02884693
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发表时间：
2005-04
期刊：
影响因子：
--
通讯作者：
Y. Siu
中科院分区：
文献类型：
--
作者：
Y. Siu
本文简要讨论乘子理想层方法在代数几何有效问题中的应用。然后给出并讨论了它在一般紧代数流形的多属变形不变性中的应用。最后探讨了它在正则环有限生成猜想中的应用，并讨论了复代数几何在复诺伊曼估计中的应用。
The application of the method of multiplier ideal sheaves to effective problems in algebraic geometry is briefly discussed. Then its application to the deformational invariance of plurigenera for general compact algebraic manifolds is presented and discussed. Finally its application to the conjecture of the finite generation of the canonical ring is explored, and the use of complex algebraic geometry in complex Neumann estimates is discussed.