On the Global Structure of Special Cycles on Unitary Shimura Varieties
On the Global Structure of Special Cycles on Unitary Shimura Varieties
复制标题
单一志村品种特殊循环的整体结构
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Nicolas Vandenbergen
中科院分区：
文献类型：
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作者：
Nicolas Vandenbergen
摘要本文研究了$ ext{GU}left(1,,n,-,1 ight)$局部模型上特殊环的约简轨迹。这些特殊周期是由Kudla和Rapoport定义的。根据Bruhat-Tits理论，我们明确地计算了单个特殊环的约简轨迹的不可约分量，以及特殊环的任意交点的不可约分量，以及它们的交点行为。此外，作为结果的一个应用，我们证明了Kudla和Rapoport猜想的特殊环的任意交点的连通性。
Abstract In this paper, we study the reduced loci of special cycles on local models of the Shimura variety for $ ext{GU}left( 1,,n,-,1
ight)$ . Those special cycles are defined by Kudla and Rapoport. We explicitly compute the irreducible components of the reduced locus of a single special cycle, as well as of an arbitrary intersection of special cycles, and their intersection behaviour in terms of Bruhat–Tits theory. Furthermore, as an application of our results, we prove the connectedness of arbitrary intersections of special cycles, as conjectured by Kudla and Rapoport.
单一志村品种的特殊周期 I 无分支的当地理论
影响因子：
3.1
作者：
S. Kudla;M. Rapoport
通讯作者：
M. Rapoport