Complex cells in sharply o-minimal structures
Logic
2026-03-27 v1 Algebraic Geometry
Complex Variables
Abstract
We extend the theory of complex cells introduced by Binyamini and Novikov to the sharply o-minimal setting, obtaining cellular preparation and parameterization theorems which are polynomially effective in the degrees of the relevant sets. Our constructions are definable, and so applying them to sets in a given reduct of R_an yields cells and cellular maps definable in the same reduct.
Keywords
Cite
@article{arxiv.2603.25380,
title = {Complex cells in sharply o-minimal structures},
author = {Gal Binyamini and Oded Carmon and Dmitry Novikov},
journal= {arXiv preprint arXiv:2603.25380},
year = {2026}
}
Comments
33 pages