Congruence modules in higher codimension and zeta lines in Galois cohomology.
Where this comes from
- Record sourced from PubMed, PMID 38640340.
- Also identified by DOI 10.1073/pnas.2320608121 and PMC identifier 11046589.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
This article builds on recent work of the first three authors where a notion of congruence modules in higher codimension is introduced. The main results are a criterion for detecting regularity of local rings in terms of congruence modules, and a more refined version of a result tracking the change of congruence modules under deformation. Number theoretic applications include the construction of canonical lines in certain Galois cohomology groups arising from adjoint motives of Hilbert modular forms.