On the Nullstellensatz for c-holomorphic functions with algebraic graphs

2020/02/16 by Białożyt, Adam, Denkowski, Maciej P., Tworzewski, Piotr
#32A17 #32A22 #32B15 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2002.06624

Abstract

C-holomorphic functions defined on algebraic sets and having algebraic graphs can be considered as a complex counterpart of regulous functions introduced recently in real geometry. This note is a part of our study on the subject; we prove herein some effective Nullstellensätze.

Related

• On the growth exponent of c-holomorphic functions with algebraic graphs
• Seminormalization and regulous functions on complex affine varieties
• Real and discrete holomorphy : Introduction to an algebraic approach
• Hyperbolic algebraic and analytic curves
• Algebraic normalisation