J. Aust. Math. Soc.  76 (2004), 383-402
 $C_2$ building and projective space

K. F. Lai
  School of Mathematics and Statistics
  University of Sydney
  NSW 2006

We study the stability map from the rigid analytic space of semistable points in $\mathbb{P}^3$ to convex sets in the building of $Sp_2$ over a local field and construct a pure affinoid covering of the space of stable points.
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