English

A c-holomorphic effective Nullstellensatz with parameter

Complex Variables 2017-07-10 v1 Algebraic Geometry

Abstract

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 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.

Cite

@article{arxiv.1406.5310,
  title  = {A c-holomorphic effective Nullstellensatz with parameter},
  author = {Maciej P. Denkowski},
  journal= {arXiv preprint arXiv:1406.5310},
  year   = {2017}
}
R2 v1 2026-06-22T04:43:05.574Z