Hypercomplex analytic spaces and schemes
Algebraic Geometry
2026-05-15 v3 Complex Variables
Differential Geometry
Abstract
We propose definitions of hypercomplex analytic spaces and hypercomplex schemes. We show that such a hypercomplex space is canonically associated to the quotient of a hypercomplex manifold by a finite group action.
Keywords
Cite
@article{arxiv.2507.16452,
title = {Hypercomplex analytic spaces and schemes},
author = {Roger Bielawski},
journal= {arXiv preprint arXiv:2507.16452},
year = {2026}
}
Comments
v.3: a clarification added in the introduction; v.2: added a result (Proposition 2.10) clarifying the structure of normal hypercomplex spaces $X$ such that Sing$(X)$ does not disconnect $X$ locally; the introduction has been partly rewritten, and a reference added