Browse Dissertations and Theses - Mathematics by Contributor "Pillay, Anand"

  • Martin-Pizarro, Amador (2003)
    In this work we are concerned with algebraic curves over supersimple fields. First it is proved that an elliptic curve defined over a supersimple field K whose j-invariant is s-generic over empty has a rational point ...

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  • Polkowska, Dominika (2005)
    Moreover, in both cases above we give a characterization of dividing.

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  • Moosa, Rahim Nazim (2001)
    While the methods of geometric stability theory have traditionally been applied to algebraic rather than analytic geometry, it has been observed that these techniques are also meaningful when applied to compact complex ...

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  • Suer, Sonat (2007)
    In this thesis we deal with the model theory of differentially closed fields of characteristic zero with several commuting derivations. The questions we consider belong to the area of geometric stability theory. First we ...

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  • Gagelman, Jerry (2004)
    The second question is answered for o-minimal structures that eliminate imaginaries. It is proved that for any structure D whose theory is o-minimal and eliminates imaginaries, any stable group interpretable in D is totally ...

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