Table of Contents
Fetching ...

Hypercomplex analytic spaces and schemes

Roger Bielawski

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.

Hypercomplex analytic spaces and schemes

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.

Paper Structure

This paper contains 9 sections, 10 theorems, 7 equations.

Key Result

Proposition 2.3

Let $X$ be a weakly hypercomplex space with $\tilde{X}$, and $R_\zeta$, $\zeta\in {\mathbb{P}}^1$, be as in Definition hc-space. Then $\sigma({R_\zeta})=R_{-1/\bar{\zeta}}$, $\forall\zeta\in {\mathbb{P}}^1$. If $X$ is hypercomplex, then the intersection $L\cap X$ of any equivalence class $L$ of any

Theorems & Definitions (32)

  • Remark 1.1
  • Definition 1.2
  • Remark 1.3
  • Definition 2.1
  • Remark 2.2
  • Proposition 2.3
  • proof
  • Proposition 2.4
  • proof
  • Corollary 2.5
  • ...and 22 more