仿射马苏雷
Masures affines
摘要：
我们给出了仿射hovels的一个抽象定义，它推广了Jacques Tits给出的仿射建筑物（最终是非单形的）的定义，并包括Stephane Gaussent和作者为超度量域上的某些Kac-Moody群所建的hovels。证明了在这样的仿射hovel I中，存在以扇形芽为中心的收缩，并且可以在I的无穷远处增加一对孪生建筑物或两个微仿射建筑物。对于某些仿射hovels我，我们证明了剩余在一个点的我有一个自然的结构对孪生建筑物，并存在对我的一个前序，诱导每个公寓的前序与山雀锥。
英文摘要：
We give an abstract definition of affine hovels which generalizes the definition of affine buildings (eventually non simplicial) given by Jacques Tits and includes the hovels built by Stephane Gaussent and the author for some Kac-Moody groups over ultrametric fields. We prove that, in such an affine hovel I, there exist retractions with center a sector germ and that we can add at the infinity of I a pair of twin buildings or two microaffine buildings. For some affine hovels I, we prove that the residue at a point of I has a natural structure of pair of twin buildings and that there exists on I a preorder which induces on each apartment the preorder associated to the Tits cone.
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