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 Wild singularities of flat surfaces

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We consider flat surfaces and the points of their metric completions, particularly the singularities to which the flat structure of the surface does not extend. The local behavior near a singular point x can be partially described by a topological space Lx which captures all the ways that x can be -approached linearly-. The homeomorphism type of Lx is an affine invariant. When x is not a cone point or an infinite-angle singularity, we say it is wild; in this case it is necessary to add further metric data to Lx to get a quantitative description of the surface near x.

Autor: Joshua P. Bowman; Ferrán Valdez

Fuente: https://archive.org/

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