Model Theory of Differential Fields

By David Marker. 2000

101 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4879daede905b4a8192fa1c6a75f867be2706534

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Ronnie Nagloo
2. Anand Pillay

In Geometry and Topology

1. Ronnie Nagloo
2. Anand Pillay
3. Ehud Hrushovski

In Numerical Analysis

1. Ronnie Nagloo
2. Anand Pillay

Citations in the corpus

• On algebraic relations between solutions of a generic Painleve equation (2011, background): “We refer the general reader to [12] and [26] for the basics of model theory, to [27] for a survey of model theory and its applications (where differential fields are central), and to the article [10] for more details on the model theory of differentially closed fields.”
• Jet spaces of varieties over differential and difference fields (2003, unknown): “We refer the reader to [4] for background on “differential algebraic geometry” and to [13] for background on the model-theoretic approach to this subject.”