完全扇形猜想的反例

Q2 Mathematics Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI:10.1215/KJM/1250271324

Kenta Watanabe

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引用次数: 3

摘要

如果格里姆斯域D是对称厄米域，则由Mumford等人构造了商空间rXD的环向紧化，并与一个射影扇和Aut(D)的离散子群F相关联。Kazuya Kato和Sampei Usui一般研究了GriMths域D的rXD的扩展，并引入了“完全扇”的概念作为投影扇概念的推广。期待有完整的风扇存在。在本文中，我们给出了一个没有完整风扇的D的例子。

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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A counterexample to a conjecture of complete fan

If a GriMths domain D is a symmetric Hermitian domain, the toroidal compactification of the quotient space rXD, associated to a projective fan and a discrete subgroup F of Aut(D), was constructed by Mumford et al. Kazuya Kato and Sampei Usui studied extensions of rXD for a GriMths domain D in general, and introduced a notion of "complete fan" as a generalization of a notion of projective fan. The existence of complete fans is expected. In this paper, we give an example of D which has no complete fan.

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.