Stefan Marian Ludwig

collaborators

3 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…

Higher amalgamation in ACFA+

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

Pseudofinite fields with additive and multiplicative character

Higher amalgamation in $ACFA^{+}$