A c-holomorphic effective Nullstellensatz with parameter

doi:10.4467/20843828AM.17.003.7079

A c-holomorphic effective Nullstellensatz with parameter

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A c-holomorphic effective Nullstellensatz with parameter

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punktacja MEiN [2017 B]: 7

title:	A c-holomorphic effective Nullstellensatz with parameter
author:	Denkowski Maciej
journal title:	Universitatis Iagellonicae Acta Mathematica
volume:	54
date of publication :	2017
pages:	33-41
ISSN:	0083-4386
eISSN:	2084-3828
series:	Zeszyty Naukowe Uniwersytetu Jagiellońskiego, ISSN 0860-0139
DOI:	10.4467/20843828AM.17.003.7079
language:	English
journal language:	English
abstract in English:	We prove a local Nullstellensatz with parameter for a continuous family of c-holomorphic functions with an effective exponent independent of the parameter: the local degree of the cycle of zeroes of the central section. We assume that this central section defines a proper intersection and we show that we can omit this assumption in case of isolated zeroes.
affiliation:	Wydział Matematyki i Informatyki : Instytut Matematyki
type:	journal article
subtype:	academic paper

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