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Automorphisms of curves and the lifting conjecture
Thesis (MSc (Mathematical Sciences))-- University of Stellenbosch, 2005.
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Stellenbosch : University of Stellenbosch
2008
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| _version_ | 1867613909635039232 |
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| access_status_str | Open Access |
| author | Brewis, Louis Hugo |
| author2 | Green, B. W. |
| author_browse | Brewis, Louis Hugo Green, B. W. |
| author_facet | Green, B. W. Brewis, Louis Hugo |
| author_sort | Brewis, Louis Hugo |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (MSc (Mathematical Sciences))-- University of Stellenbosch, 2005. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/3076 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:43:38.086Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2008 |
| publishDateRange | 2008 |
| publishDateSort | 2008 |
| publisher | Stellenbosch : University of Stellenbosch |
| publisherStr | Stellenbosch : University of Stellenbosch |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/3076 Automorphisms of curves and the lifting conjecture Brewis, Louis Hugo Green, B. W. University of Stellenbosch. Faculty of Science. Dept. of Mathematical Sciences. Theses -- Mathematics Dissertations -- Mathematics Curves, Algebraic Lifting theory Automorphisms Thesis (MSc (Mathematical Sciences))-- University of Stellenbosch, 2005. It is an open question whether or not one can always lift Galois extensions of smooth algebraic curves in characteristic p to Galois extensions of smooth relative curves in characteristic 0. In this thesis we study some of the available techniques and partial solutions to this problem. Our studies include the techniques of Oort, Sekiguchi and Suwa where the lifting problem is approached via a connection with lifting group schemes. We then move to the topic of singular liftings and for this we study the approach of Garuti. Thereafter, we move to the wild smooth setting again where we study the crucial local − global principle, and apply it by illustrating how Green and Matignon solved the p2-lifting problem. 2008-07-15T10:21:27Z 2010-06-01T09:05:38Z 2008-07-15T10:21:27Z 2010-06-01T09:05:38Z 2005-12 Thesis http://hdl.handle.net/10019.1/3076 en University of Stellenbosch application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | Theses -- Mathematics Dissertations -- Mathematics Curves, Algebraic Lifting theory Automorphisms Brewis, Louis Hugo Automorphisms of curves and the lifting conjecture |
| title | Automorphisms of curves and the lifting conjecture |
| title_full | Automorphisms of curves and the lifting conjecture |
| title_fullStr | Automorphisms of curves and the lifting conjecture |
| title_full_unstemmed | Automorphisms of curves and the lifting conjecture |
| title_short | Automorphisms of curves and the lifting conjecture |
| title_sort | automorphisms of curves and the lifting conjecture |
| topic | Theses -- Mathematics Dissertations -- Mathematics Curves, Algebraic Lifting theory Automorphisms |
| url | http://hdl.handle.net/10019.1/3076 |
| work_keys_str_mv | AT brewislouishugo automorphismsofcurvesandtheliftingconjecture |