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11/8/2019, Léo Jimenez

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Published on Nov 12, 2019

Léo Jimenez, University of Notre Dame

Strengthenings of C-algebraicity in differentially closed fields of characteristic zero

In model theory, the notion of internality to a fixed family of types plays an important role. During this talk, I will focus on one of its differential algebraic manifestations: being C-algebraic, where C is the field of constants of a differentially closed field. An irreducible differential-algebraic variety is C-algebraic if it is, roughly speaking, differentially birational to an algebraic variety in C. I will discuss a new property, uniform C-internality, and discuss examples, non-examples, and applications.

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