Dominating real algebraic morphisms
Algebraic Geometry
2023-02-07 v1
Abstract
Let X and Y be nonsingular real algebraic varieties, dimX>dimY-1. Assume that the variety Y is malleable, compact and connected. Our main result implies that each regular map from X to Y is homotopic to a surjective regular map. The class of malleable varieties includes all homogeneous spaces for linear real algebraic groups.
Cite
@article{arxiv.2302.02691,
title = {Dominating real algebraic morphisms},
author = {Wojciech Kucharz},
journal= {arXiv preprint arXiv:2302.02691},
year = {2023}
}
Comments
5 pages. arXiv admin note: text overlap with arXiv:2302.01055