论文标题
正交Shimura品种上算术周期的回拉公式
Pullback formulas for arithmetic cycles on orthogonal Shimura varieties
论文作者
论文摘要
在正交的Shimura品种上，一个在Gillet-Soule Arithmetic Chow组中有一系列特殊周期。我们描述了这些循环如何在回溯到嵌入的正交的shimura较低维度的情况下的表现。该纸的大部分专门用于特殊周期不正确地与嵌入式shimura品种相交的情况，为此，我们构建了某些绿色电流的对数扩展，以与嵌入的正常束的变形。
On an orthogonal Shimura variety, one has a collection of special cycles in the Gillet-Soule arithmetic Chow group. We describe how these cycles behave under pullback to an embedded orthogonal Shimura variety of lower dimension. The bulk of the paper is devoted to cases in which the special cycles intersect the embedded Shimura variety improperly, for which we construct logarithmic expansions of certain Green currents on the deformation to the normal bundle of the embedding.
