Locally nilpotent derivations with a PID ring of constants

Moulay A. Barkatou (1) , M'Hammed El Kahoui (2)

1 XLIM-DMI - DMI
2 Department of Mathematics, Faculty of Sciences Semlalia

Let be a commutative field of characteristic zero, be a domain containing and be a locally nilpotent -derivation of . We give in this paper a description of the differential -algebra under the assumptions that the ring of constants of is a PID, is fixed point free and its special fibers are reduced.

Mots clés: Locally nilpotent derivation; Plinth ideal; affine modification

Moulay A. Barkatou, M'Hammed El Kahoui. Locally nilpotent derivations with a PID ring of constants. Proceedings of the American Mathematical Society, 2012, 140 (1), pp.119-128. ⟨10.1090/S0002-9939-2011-10962-6⟩. ⟨hal-00685024⟩