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Title: Skeleta in non-Archimedean and tropical geometry
Author: MacPherson, Andrew
ISNI:       0000 0004 5348 9954
Awarding Body: Imperial College London
Current Institution: Imperial College London
Date of Award: 2014
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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.
Supervisor: Corti, Alessio; Thomas, Richard Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral