On Complex Manifolds and Observable Schemes

Rodrigo Vargas Le-Bert

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arXiv · 1203.5806

On Complex Manifolds and Observable Schemes

Rodrigo Vargas Le-Bert

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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.

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Rodrigo Vargas Le-Bert. 2012-03-26. On Complex Manifolds and Observable Schemes. https://arxiv.org/abs/1203.5806

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