I describe an algebro-geometric theory of skeleta, which provides a unified setting for the study of tropical varieties, skeleta of non-Archimedean analytic spaces, and affine manifolds with singularities. Skeleta are spaces equipped with a structure sheaf of topological semirings, and are locally modelled on the spectra of the same. The primary result of this paper is that the topological space X underlying a non-Archimedean analytic space may locally be recovered from the sheaf |?x| of pointwise valuations of its analytic functions in other words, (X,|?x|) is a skeleton.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:656661 |
| Date | January 2014 |
| Creators | MacPherson, Andrew |
| Contributors | Corti, Alessio; Thomas, Richard |
| Publisher | Imperial College London |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://hdl.handle.net/10044/1/25016 |
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