正交Shimura变量上算术循环的回拉公式

IF 1 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2025-06-12 DOI:10.2140/ant.2025.19.1495

Benjamin Howard

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引用次数: 0

摘要

在一个正交的Shimura变量上，在gillet - soul算术周群中有一个算术特殊循环的集合。我们描述了这些循环在回拉到嵌入的正交低维志村变化下的行为。本文主要讨论特殊周期与嵌入的志村变化不适当相交的情况，这就要求我们分析Green电流在嵌入的法向束变形上的对数展开。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Pullback formulas for arithmetic cycles on orthogonal Shimura varieties

On an orthogonal Shimura variety, one has a collection of arithmetic special cycles in the Gillet–Soulé 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, which requires that we analyze logarithmic expansions of Green currents on the deformation to the normal bundle of the embedding.

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.