Extensions in the cohomology of Hilbert modular varieties

• Published in: arXiv.org
• Main Authors: Davidescu, Cosmin, Scholl, Anthony J
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 17.03.2020
• Subjects: Homology

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.