Congruence modules in higher codimension and zeta lines in Galois cohomology

• 成果类型: Article
• 署名作者: Iyengar, Srikanth B.; Khare, Chandrashekhar B.; Manning, Jeffrey; Urban, Eric
• 署名单位: Utah System of Higher Education; University of Utah; University of California System; University of California Los Angeles; Imperial College London; Columbia University
• 刊物名称: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
• ISSN/ISSBN: 0027-10271
• DOI: 10.1073/pnas.2320608121
• 发表日期: 2024-04-23
• 关键词: varieties; VALUES

摘要

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.