有限型与有效零空间
Finite type and the effective Nullstellensatz
摘要:
基于多复变数理论中的有限型概念,提出了一种新的不变量,得到了非奇异复簇上理想层的有效零元数的改进的局部和全局形式.两个密切相关的曲线选择定理的曲线与最大调整切线阶一个给定的理想层建立了一路上,使用规范化的爆破和整闭包。
英文摘要:
Improved local and global versions of the effective Nullstellensatz for ideal sheaves on non-singular complex varieties are obtained, based on a new invariant motivated by the notion of finite type from the theory of several complex variables. Two closely related curve selection theorems for curves with maximal adjusted tangency orders to a given ideal sheaf are established along the way, using normalized blow-ups and integral closures.
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