On Complex Manifolds and Observable Schemes

Details On Complex Manifolds and Observable Schemes On Complex Manifolds and Observable Schemes

2012-03-26

arxiv.org/abs/1203.5806v1

Mathematics

Complex Variables

15 pages. Supported by Fondecyt Postdoctoral Grant No. 3110045

Scientific paper

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.

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