Higher Hida and Coleman theories on the modular curve
We construct Hida and Coleman theories for the degree 0 and 1 cohomology of automorphic line bundles on the modular curve and we define a p-adic duality pairing between the theories in degree 0 and 1.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Association Epiga
2022-09-01
|
| Series: | Épijournal de Géométrie Algébrique |
| Subjects: | |
| Online Access: | https://epiga.episciences.org/6112/pdf |
| _version_ | 1797248734529060864 |
|---|---|
| author | George Boxer Vincent Pilloni |
| author_facet | George Boxer Vincent Pilloni |
| author_sort | George Boxer |
| collection | DOAJ |
| description | We construct Hida and Coleman theories for the degree 0 and 1 cohomology of
automorphic line bundles on the modular curve and we define a p-adic duality
pairing between the theories in degree 0 and 1. |
| first_indexed | 2024-04-24T20:19:18Z |
| format | Article |
| id | doaj.art-366622f4fe764954b9cfe31ea4f890cf |
| institution | Directory Open Access Journal |
| issn | 2491-6765 |
| language | English |
| last_indexed | 2024-04-24T20:19:18Z |
| publishDate | 2022-09-01 |
| publisher | Association Epiga |
| record_format | Article |
| series | Épijournal de Géométrie Algébrique |
| spelling | doaj.art-366622f4fe764954b9cfe31ea4f890cf2024-03-22T09:11:16ZengAssociation EpigaÉpijournal de Géométrie Algébrique2491-67652022-09-01Volume 610.46298/epiga.2022.61126112Higher Hida and Coleman theories on the modular curveGeorge Boxerhttps://orcid.org/0000-0002-6027-7509Vincent PilloniWe construct Hida and Coleman theories for the degree 0 and 1 cohomology of automorphic line bundles on the modular curve and we define a p-adic duality pairing between the theories in degree 0 and 1.https://epiga.episciences.org/6112/pdfmathematics - number theory |
| spellingShingle | George Boxer Vincent Pilloni Higher Hida and Coleman theories on the modular curve Épijournal de Géométrie Algébrique mathematics - number theory |
| title | Higher Hida and Coleman theories on the modular curve |
| title_full | Higher Hida and Coleman theories on the modular curve |
| title_fullStr | Higher Hida and Coleman theories on the modular curve |
| title_full_unstemmed | Higher Hida and Coleman theories on the modular curve |
| title_short | Higher Hida and Coleman theories on the modular curve |
| title_sort | higher hida and coleman theories on the modular curve |
| topic | mathematics - number theory |
| url | https://epiga.episciences.org/6112/pdf |
| work_keys_str_mv | AT georgeboxer higherhidaandcolemantheoriesonthemodularcurve AT vincentpilloni higherhidaandcolemantheoriesonthemodularcurve |