Congruence modules in higher codimension and zeta lines in Galois cohomology
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911850848845824 |
|---|---|
| author | Iyengar, Srikanth B. Khare, Chandrashekhar B. Manning, Jeffrey Urban, Eric |
| author_facet | Iyengar, Srikanth B. Khare, Chandrashekhar B. Manning, Jeffrey Urban, Eric |
| contents | This work builds on earlier work of the first three authors where a notion of congruence modules in higher codimension is introduced. The main new 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 is proved. Number theoretic applications include the construction of canonical lines in certain Galois cohomology groups arising from adjoint motives of Hilbert modular forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13070 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Congruence modules in higher codimension and zeta lines in Galois cohomology Iyengar, Srikanth B. Khare, Chandrashekhar B. Manning, Jeffrey Urban, Eric Number Theory Commutative Algebra 11F80 (primary), 11F33, 13D02 (secondary) This work builds on earlier work of the first three authors where a notion of congruence modules in higher codimension is introduced. The main new 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 is proved. Number theoretic applications include the construction of canonical lines in certain Galois cohomology groups arising from adjoint motives of Hilbert modular forms. |
| title | Congruence modules in higher codimension and zeta lines in Galois cohomology |
| topic | Number Theory Commutative Algebra 11F80 (primary), 11F33, 13D02 (secondary) |
| url | https://arxiv.org/abs/2311.13070 |