On certain cohomology groups attached to \(\mathfrak{p}^{\infty}\)-towers of quaternionic Hilbert modular varieties

• Published in: arXiv.org
• Main Author: Spieß, Michael
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 15.12.2020
• Subjects: Deformation; Homology; Number theory; Prime numbers; Quaternions; Representations

For a totally real number field \(F\) and a nonarchimedean prime \(\mathfrak{p}\) of \(F\) lying above a prime number \(p\) we introduce certain sheaf cohomology groups that intertwine the \(\mathfrak{p}^{\infty}\)-tower of a quaternionic Hilbert modular variety associated to a quaternion algebra \(...