Andreotti-Frankel-Hamm theorem for morphisms of algebraic varieties
Algebraic Geometry
2025-05-06 v1 Complex Variables
Abstract
The classical Andreotti-Frankel-Hamm theorem reads: a complex affine algebraic variety B, of dim_\C B=n, has homotopy type of dim_\R\le n. We prove the relative version for morphisms X\to B.
Keywords
Cite
@article{arxiv.2505.01906,
title = {Andreotti-Frankel-Hamm theorem for morphisms of algebraic varieties},
author = {Dmitry Kerner},
journal= {arXiv preprint arXiv:2505.01906},
year = {2025}
}