3 papers
math.AG2026
On Algebraic Integrability of Vector Fields with Rational Function Coefficients that Separate Variables
Przemysław Grabowski
We work over a field of characteristic zero - primarily over an algebraic closure of the field of rational numbers. We prove a necessary and sufficient condition for a vector field…
math.AG2025
Power Towers: Purely Inseparable Galois Theory and Foliations in Positive Characteristic
Przemysław Grabowski
We build a purely inseparable Galois theory using non-derived commutative algebra. Our theory works on fields and on normal varieties. It says that a purely inseparable morphism co…
math.AG2024
Canonical liftings of Calabi--Yau hypersurfaces: Dwork hypersurfaces
Przemysław Grabowski
We explicitly compute canonical liftings modulo in a sense of Achinger--Zdanowicz of Dwork hypersurfaces. The computation involves studying a compatibility between Hodge filt…