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• W1953187029 abstract "This paper concerns the model theory of jet spaces (i.e., higher-order tangent spaces) in differentially closed fields. Suppose p is the generic type of the jet space to a finite dimensional differential-algebraic variety at a generic point. It is shown that p satisfies a certain strengthening of almost internality to the constant field called preserving internality to the constants. This strengthening is a model-theoretic abstraction of the generic behaviour of jet spaces in complex-analytic geometry. A counterexample is constructed showing that only this generic analogue holds in differential-algebraic geometry." @default.
• W1953187029 created "2016-06-24" @default.
• W1953187029 creator A5021771542 @default.
• W1953187029 creator A5027707580 @default.
• W1953187029 creator A5054026478 @default.
• W1953187029 date "2013-11-14" @default.
• W1953187029 modified "2023-09-27" @default.
• W1953187029 title "Differential-algebraic jet spaces preserve internality to the constants" @default.
• W1953187029 cites W1786634389 @default.
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• W1953187029 hasPublicationYear "2013" @default.
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