Stefan Marian Ludwig

collaborators

4 papers

math.LO2026

Higher amalgamation in $ACFA^{+}$

Stefan Marian Ludwig

We show two results on higher amalgamation in the theory $ACFA^{+}$ , the model companion of the theory of difference fields with an additive character (added as a continuo…

math.LO2025

Model theory of difference fields with an additive character on the fixed field

Stefan Marian Ludwig

Following a research line proposed by Hrushovski in his work on pseudofinite fields with an additive character, we investigate the theory $ACFA^{+}$ which is the model com…

math.LO2025

Pseudofinite fields with additive and multiplicative character

Stefan Marian Ludwig

We introduce the theory $PF^{+, \times}$ of pseudofinite fields with generic additive and multiplicative character added as continuous logic predicates. Using the Weil boun…

math.LO2025

An Approximate AKE Principle for Metric Valued Fields

Martin Hils, Stefan Marian Ludwig

We study metric valued fields in continuous logic, following Ben Yaacov's approach, thus working in the metric space given by the projective line. As our main result, we obtain an…

Higher amalgamation in ACFA+

Model theory of difference fields with an additive character on the fixed field

Pseudofinite fields with additive and multiplicative character

An Approximate AKE Principle for Metric Valued Fields

Higher amalgamation in $ACFA^{+}$