On Complex Manifolds and Observable Schemes
Complex Variables
2012-03-28 v1 Algebraic Geometry
Rings and Algebras
Abstract
We work out the construction of a Stein manifold from a commutative Arens-Michael algebra, under assumptions that are mild enough for the process to be useful in practice. Then, we do the passage to arbitrary complex manifolds by proposing a suitable notion of scheme. We do this in the abstract language of spectral functors, in view of its potential usefulness in non-commutative geometry.
Cite
@article{arxiv.1203.5806,
title = {On Complex Manifolds and Observable Schemes},
author = {Rodrigo Vargas Le-Bert},
journal= {arXiv preprint arXiv:1203.5806},
year = {2012}
}
Comments
15 pages. Supported by Fondecyt Postdoctoral Grant No. 3110045