The Mordell-Lang Theorem from the Zilber Dichotomy
| dc.contributor.author | Eagle, Christopher | |
| dc.date.accessioned | 2010-04-30T17:50:25Z | |
| dc.date.available | 2010-04-30T17:50:25Z | |
| dc.date.issued | 2010-04-30T17:50:25Z | |
| dc.date.submitted | 2010-04-29 | |
| dc.description.abstract | We present a largely self-contained exposition of Ehud Hrushovski's proof of the function field Mordell-Lang conjecture beginning from the Zilber Dichotomy for differentially closed fields and separably closed fields. Our account is based on notes from a series of lectures given by Rahim Moosa at a MODNET workshop at Humboldt Universitat in Berlin in September 2007. We treat the characteristic 0 and characteristic p cases uniformly as far as is possible, then specialize to characteristic p in the final stages of the proof. We also take this opportunity to work out the extension of Hrushovski's ``Socle Theorem'' from the finite Morley rank setting to the finite U-rank setting, as is in fact required for Hrushovski's proof of Mordell-Lang to go through in positive characteristic. | en |
| dc.identifier.uri | http://hdl.handle.net/10012/5141 | |
| dc.language.iso | en | en |
| dc.pending | false | en |
| dc.publisher | University of Waterloo | en |
| dc.subject.program | Pure Mathematics | en |
| dc.title | The Mordell-Lang Theorem from the Zilber Dichotomy | en |
| dc.type | Master Thesis | en |
| uws-etd.degree | Master of Mathematics | en |
| uws-etd.degree.department | Pure Mathematics | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.scholarLevel | Graduate | en |
| uws.typeOfResource | Text | en |