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.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:sun/oai:scholar.sun.ac.za:10019.1/3076 |
| Date | 12 1900 |
| Creators | Brewis, Louis Hugo |
| Contributors | Green, B. W., University of Stellenbosch. Faculty of Science. Dept. of Mathematical Sciences. |
| Publisher | Stellenbosch : University of Stellenbosch |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Rights | University of Stellenbosch |
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