三角线表示族与有限斜率空间
Families of trianguline representations and finite slope spaces
摘要：
我们应用理论的家庭（φ，伽玛）-模块三角家庭定义的Chenevier。这产生了一个新的定义Kisin的有限斜率子空间以及高维类似物。特别地，我们证明了这些有限斜率空间包含作为闭子空间的酉群的本征簇。这意味着，由某些酉群上的过收敛p-adic自守形式所产生的表示，当限制在局部伽罗瓦群上时，是三角形的。
英文摘要：
We apply the theory of families of (phi,Gamma)-modules to trianguline families as defined by Chenevier. This yields a new definition of Kisin's finite slope subspace as well as higher dimensional analogues. Especially we show that these finite slope spaces contain eigenvarieties for unitary groups as closed subspaces. This implies that the representations arising from overconvergent p-adic automorphic forms on certain unitary groups are trianguline when restricted to the local Galois group.
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