The paper gives necessary conditions for algebraic ODEs to have complex Pfaffian solutions, examples without real Pfaffian solutions, a sufficient condition for d-irreducibility, and answers to open questions in the area.
Some model theory of fibrations and algebraic reductions.Selecta Mathematica, 20(4):1067–1082
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.LO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Special classes of functions
The paper gives necessary conditions for algebraic ODEs to have complex Pfaffian solutions, examples without real Pfaffian solutions, a sufficient condition for d-irreducibility, and answers to open questions in the area.