A c-holomorphic effective Nullstellensatz with parameter

Maciej Denkowski

Abstract. We prove a local Nullstellensatz with parameter for a continu-
ous family of c-holomorphic functions with an e ective exponent indepen-
dent of the parameter: the local degree of the cycle of zeroes of the central
section. We assume that this central section de nes a proper intersection
and we show that we can omit this assumption in case of isolated zeroes.
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