论文标题

几何jacquet-langlands转移,用于自重形式的更高重量

A Geometric Jacquet-Langlands Transfer for automorphic forms of higher weights

论文作者

Yu, Jize

论文摘要

在本文中,我们通过研究不同Hodge型Shimura品种的Mod $ p $纤维的几何形状,为较高权重的自动形式的Jacquet-Langlands转移提供几何结构,以满足它们之间的温和假设及其之间的群体学对应关系。

In this paper, we give a geometric construction of the Jacquet-Langlands transfer for automorphic forms of higher weights by studying the geometry of the mod $p$ fibres of different Hodge type Shimura varieties which satisfy a mild assumption and the cohomological correspondences between them.

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