论文标题
希尔伯特模块化品种的共同体扩展
Extensions in the cohomology of Hilbert modular varieties
论文作者
论文摘要
我们描述了希尔伯特模块化品种的$ \ ell $ - adg和hodge共同体中产生的扩展类，将Caspar的概括为任意维度。我们表明，此描述与Neková列和第二作者的“ Pletic猜想”一致。
We describe extension classes arising in the $\ell$-adic and Hodge cohomology of Hilbert modular varieties, generalising results of Caspar to arbitrary dimensions. We show that this description is consistent with the "plectic conjectures" of Nekovář and the second author.
