The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves
We develop an algebraic de Rham theory for unipotent fundamental groups of once punctured elliptic curves over a field of characteristic zero using the universal elliptic KZB connection of Calaque, Enriquez and Etingof (2009) and Levin and Racinet (2007). We use it to give an explicit version of Tan...
| 1. autor: | |
|---|---|
| Format: | Journal article |
| Język: | English |
| Wydane: |
Mathematical Sciences Publishers
2020
|
| _version_ | 1826308303389458432 |
|---|---|
| author | Luo, M |
| author_facet | Luo, M |
| author_sort | Luo, M |
| collection | OXFORD |
| description | We develop an algebraic de Rham theory for unipotent fundamental groups of once punctured elliptic curves over a field of characteristic zero using the universal elliptic KZB connection of Calaque, Enriquez and Etingof (2009) and Levin and Racinet (2007). We use it to give an explicit version of Tannaka duality for unipotent connections over an elliptic curve with a regular singular point at the identity. |
| first_indexed | 2024-03-07T07:17:32Z |
| format | Journal article |
| id | oxford-uuid:e4f84094-4b9f-4cab-b81c-550c8a2e4e06 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:17:32Z |
| publishDate | 2020 |
| publisher | Mathematical Sciences Publishers |
| record_format | dspace |
| spelling | oxford-uuid:e4f84094-4b9f-4cab-b81c-550c8a2e4e062022-08-16T10:32:15ZThe elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curvesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e4f84094-4b9f-4cab-b81c-550c8a2e4e06EnglishSymplectic Elements at OxfordMathematical Sciences Publishers2020Luo, MWe develop an algebraic de Rham theory for unipotent fundamental groups of once punctured elliptic curves over a field of characteristic zero using the universal elliptic KZB connection of Calaque, Enriquez and Etingof (2009) and Levin and Racinet (2007). We use it to give an explicit version of Tannaka duality for unipotent connections over an elliptic curve with a regular singular point at the identity. |
| spellingShingle | Luo, M The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves |
| title | The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves |
| title_full | The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves |
| title_fullStr | The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves |
| title_full_unstemmed | The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves |
| title_short | The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves |
| title_sort | elliptic kzb connection and algebraic de rham theory for unipotent fundamental groups of elliptic curves |
| work_keys_str_mv | AT luom theelliptickzbconnectionandalgebraicderhamtheoryforunipotentfundamentalgroupsofellipticcurves AT luom elliptickzbconnectionandalgebraicderhamtheoryforunipotentfundamentalgroupsofellipticcurves |