Reduction of a family of ideals

Kodai Mathematical Journal

Tomasz Rodak¹ 

[1] University of Łódź Faculty of Mathematics and Computer Science

关键词: Reduction of an ideal;    Hilbert-Samuel multiplicity;    Łojasiewicz exponent;   

DOI  :  10.2996/kmj/1426684450

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(11)In the paper we prove that there exists a simultaneous reduction of one-parameter family of $\mathfrak{m}_{n}$-primary ideals in the ring of germs of holomorphic functions. Moreover, we generalize the result of A. Płoski [8] on the semicontinuity of the Łojasiewicz exponent in a multiplicity-constant deformation.

【 授权许可】

Unknown