Extensions in the cohomology of Hilbert modular varieties

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.

Saved in:

Bibliographic Details
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
Online Access	Get full text

Cover

Loading…

More Information
Summary:	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.
ISSN:	2331-8422