id author title date pages extension mime words sentence flesch summary cache txt k3569310027 Gregory Cousins Some Model Theory of Fields and Differential Fields 2019 .txt text/plain 223 6 40 The fourth chapter is based on joint work with Quentin Brouette, Anand Pillay, and Françoise Point in which we prove that if T is a theory of large, bounded fields of characteristic 0 with almost quantifier elimination, and T' is the model companion of T together with the statement d is a derivation then for any model (U, d) of T', differential subfield K of U such that C(K) is a model of T, and logarithmic differential equation dlog(z)=a (defined over some algebraic group G that is definable over C(K)), there is a strongly normal extension L of K for the equation with L a differential subfield of U. The third chapter is dedicated to the study, and characterization, of differential fields with a notion of largeness for differential-algebraic sets. cache/k3569310027.txt txt/k3569310027.txt