Shtukas的特殊周期已经关闭

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2022-04-23 DOI:10.4310/pamq.2022.v18.n5.a6

Zhiwei Yun

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引用次数: 2

摘要

在本文中，我们给出了Paul Breutmann定理的不同证明：对于光滑投影曲线X上的Bruhat-Tits群方案H和另一个光滑群方案G中的闭嵌入，Shtukas Sht r H的模上的诱导映射→ Sht r G是示意性的、有限的和不可分割的。这一结果使人们能够在Shtukas的模量堆栈上定义特殊循环。

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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Special cycles for Shtukas are closed

. In this paper we give a diﬀerent proof of a theorem of Paul Breutmann: for a Bruhat-Tits group scheme H over a smooth projective curve X and a closed embedding into another smooth aﬃne group scheme G , the induced map on the moduli of Shtukas Sht r H → Sht r G is schematic, ﬁnite and unramiﬁed. This result enables one to deﬁne special cycles on the moduli stack of Shtukas.

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.