1 citations · 1 across the 5 of their papers we have counts for
9 papers
Finding suitably generic points on curves with an application to the construction of rigid real closed fields
Dragos Ghioca, David Marker, Charles Steinhorn
Let be an algebraically closed field of characteristic 0 and transcendence degree at least 2. Let be an irreducible curve defined over but not defined over t…
On the equations of Poizat and Liénard
James Freitag, Rémi Jaoui, David Marker +1
We study the structure of the solution sets in universal differential fields of certain differential equations of order two, the Poizat equations, which are particular cases of Lié…
Rigid Differentially Closed Fields
David Marker
Using ideas from geometric stability theory we construct differentially closed fields with no non-trivial automorphisms.
Anti-classification results for groups acting freely on the line
Filippo Calderoni, David Marker, Luca Motto Ros +1
We explore countable ordered Archimedean groups from the point of view of descriptive set theory. We introduce the space of Archimedean left-orderings for a given…
Scattered Sentences have Few Separable Randomizations
Uri Andrews, Isaac Goldbring, Sherwood Hachtman +2
In the paper "Randomizations of Scattered Sentences", Keisler showed that if Martin's axiom for aleph one holds, then every scattered sentence has few separable randomizations, and…
Representing Scott sets in algebraic settings
Alf Dolich, Julia Knight, Karen Lange +1
We prove that for every Scott set there are -saturated real closed fields and models of Presburger arithmetic.