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Nov
17
awarded  Scholar
Nov
17
accepted Constructing a field from a spherical building
Nov
15
comment Constructing a field from a spherical building
Thanks for the Von Staudt and Mnev references.
Nov
15
comment Constructing a field from a spherical building
@Koen This is helpful. Do you happen to know a good reference for getting at the Moufang projective plane mentioned your 3rd paragraph? If not, thanks for pointing out that path anyway.
Nov
15
awarded  Supporter
Nov
15
awarded  Editor
Nov
15
revised Constructing a field from a spherical building
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Nov
15
comment Constructing a field from a spherical building
Thanks for the response. Sorry if this is basic, but could you comment on what objects end up being parametrized when we construct the field in the building case? The usual proj. geom. argument parametrizes a line in a projective space; its points are field elements. Say we start with a high rank euclidean building, take its building at infinity, and construct the field, what are we parametrizing? We can't be parametrizing things inside a given apartment, that seems like it would always give $\mathbb R$. Is the correspondence that apartments are field elements?
Nov
15
awarded  Student
Nov
15
asked Constructing a field from a spherical building