Global ETD Search
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Showing 1 to 5 of 5 for “"differential fields"”.
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On asymptotic valued differential fields with small derivation
… the algebra and model theory of certain valued differential fields and ordered valued differential fields. We focus on those with small derivation, which is a strong form of continuity of the derivation with respect to the valuation topology, and especially on those that are also asymptotic, …
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Algebraically closed fields with characters; differential-henselian monotone valued differential fields
… second project we study the model theory of the differential-henselian monotone valued differential fields. We also consider definability in differential-henselian monotone fields with c-map and angular component map.
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Iterative Differential Galois Theory in Positive Characteristic: A Model Theoretic Approach
… introduces a natural extension of Kolchin's differential Galois theory to positive characteristic iterative differential fields, generalizing to the non-linear case the iterative Picard-Vessiot theory recently developed by Matzat and van der Put. Instead of taking an algebraic approach, we …
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Derivations on o-minimal fields
… we turn our attention to $T$-convex $T$-differential fields. These are models $K\models T$ equipped with a $T$-derivation which is continuous with respect to a $T$-convex valuation ring of $K$, as defined by van den Dries and Lewenberg. We show that if $K$ is a $T$-convex $T$-differential …
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Model Theory of Differentially Closed Fields With Several Commuting Derivations
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 observe that the only known lower bound for the Lascar rank of types in …