Multiplicity and Semicontinuity of the Łojasiewicz Exponent
Volume 64 / 2016
Bulletin Polish Acad. Sci. Math. 64 (2016), 55-62
MSC: 32B10, 14Q99, 12Y99.
DOI: 10.4064/ba8041-3-2016
Published online: 18 March 2016
Abstract
We give an effective formula for the improper isolated multiplicity of a polynomial mapping. Using this formula we construct, for a given deformation of a holomorphic mapping with an isolated zero at zero, a stratification of the space of parameters such that the Łojasiewicz exponent is constant on each stratum.
