Reduction of a family of ideals
Abstract
In the paper we prove that there exists a simultaneous reduction of one-parameter family of mn-primary ideals in the ring of germs of holomorphic functions. As a corollary we generalize the result of A. Poski ploski on the semicontinuity of the ojasiewicz exponent in a multiplicity-constant deformation.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.