Rigid Differentially Closed Fields

TL;DR

This paper constructs differentially closed fields that have no non-trivial automorphisms, using techniques from geometric stability theory, contributing to the understanding of automorphism groups in differential algebra.

Contribution

It introduces a novel construction of differentially closed fields with trivial automorphism groups using geometric stability theory.

Findings

Successfully constructs such fields with no non-trivial automorphisms

Advances understanding of automorphism groups in differential algebra

Demonstrates application of geometric stability theory in field construction

Abstract

Using ideas from geometric stability theory we construct differentially closed fields with no non-trivial automorphisms.