Abstract
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.
Citation
Tomasz Rodak. "Reduction of a family of ideals." Kodai Math. J. 38 (1) 201 - 208, March 2015. https://doi.org/10.2996/kmj/1426684450
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