2 papers
math.NT2025
Positive characteristic Ax-Schanuel
Piotr Kowalski
This expository paper is written in celebration of Boris Zilber's 75th birthday. We discuss Ax-Schanuel type statements focusing on the case of positive characteristic.
math.LO2025
Of model completeness and algebraic groups
Daniel Max Hoffmann, Piotr Kowalski, Chieu-Minh Tran +1
We show that if G is a split semisimple algebraic group over a model complete field K, then the groups G(K) and G(K)' (the commutator group which is a ``Chevalley group'' as for ex…