F. Lescure, NONTRIVIAL ACTION ON THE 1ST DOLBEAULT CO HOMOLOGY GROUP, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 316(8), 1993, pp. 823-825
We give some holomorphic C-action on a complex compact manifold with
a non trivial induced action on H-1 (M, O(M)). We give also some indic
ations about possible semi-simple induced actions on H(q)(M, O(M)).