Self cup products and the theta characteristic torsor
We give a general formula relating self cup products in cohomology to connecting maps in nonabelian cohomology, and apply it to obtain a formula for the self cup product associated to the Weil pairing.
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
International Press
2013
|
| Online Access: | http://hdl.handle.net/1721.1/81276 https://orcid.org/0000-0002-8593-2792 |
| _version_ | 1826205753939066880 |
|---|---|
| author | Poonen, Bjorn Rains, Eric |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Poonen, Bjorn Rains, Eric |
| author_sort | Poonen, Bjorn |
| collection | MIT |
| description | We give a general formula relating self cup products in cohomology to connecting maps in nonabelian cohomology, and apply it to obtain a formula for the self cup product associated to the Weil pairing. |
| first_indexed | 2024-09-23T13:18:54Z |
| format | Article |
| id | mit-1721.1/81276 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:18:54Z |
| publishDate | 2013 |
| publisher | International Press |
| record_format | dspace |
| spelling | mit-1721.1/812762022-10-01T14:24:53Z Self cup products and the theta characteristic torsor Poonen, Bjorn Rains, Eric Massachusetts Institute of Technology. Department of Mathematics Poonen, Bjorn Poonen, Bjorn Rains, Eric We give a general formula relating self cup products in cohomology to connecting maps in nonabelian cohomology, and apply it to obtain a formula for the self cup product associated to the Weil pairing. National Science Foundation (U.S.) (grant DMS-0841321) National Science Foundation (U.S.) (DMS-1069236) 2013-10-02T21:41:26Z 2013-10-02T21:41:26Z 2011-11 2011-09 Article http://purl.org/eprint/type/JournalArticle 10732780 1945001X http://hdl.handle.net/1721.1/81276 Poonen, Bjorn, and Eric Rains. “Self cup products and the theta characteristic torsor.” Mathematical Research Letters 18, no. 6 (2011): 1305-1318. https://orcid.org/0000-0002-8593-2792 en_US http://dx.doi.org/10.4310/MRL.2011.v18.n6.a18 Mathematical Research Letters Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf International Press Prof. Poonen via Michael Noga |
| spellingShingle | Poonen, Bjorn Rains, Eric Self cup products and the theta characteristic torsor |
| title | Self cup products and the theta characteristic torsor |
| title_full | Self cup products and the theta characteristic torsor |
| title_fullStr | Self cup products and the theta characteristic torsor |
| title_full_unstemmed | Self cup products and the theta characteristic torsor |
| title_short | Self cup products and the theta characteristic torsor |
| title_sort | self cup products and the theta characteristic torsor |
| url | http://hdl.handle.net/1721.1/81276 https://orcid.org/0000-0002-8593-2792 |
| work_keys_str_mv | AT poonenbjorn selfcupproductsandthethetacharacteristictorsor AT rainseric selfcupproductsandthethetacharacteristictorsor |