Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-dimensional affine R-buildings defined by generalized polygons with
  non-discrete valuation   In this paper we complete the proof of the "equivalence" of non-discrete
R-buildings of types A~_2 and C~_2, with, respectively, projective planes and
generalized quadrangles with non-discrete valuation, begun in previous paper of
the authors. We also complete the proof of the "equivalence" of an affine
building of rank 3 with a generalized polygon with discrete valuation (by
proving this for generalized hexagons). We also complement a result of the
second author by proving uniqueness up to scalar multiples of the weight
sequences of polygons with non-discrete valuation. As an application, we
produce some new explicitly defined non-discrete R-buildings, in particular a
class of type A~_2 with arbitrary residues.

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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph