We describe explicitly holomorphic singular foliations on the projective plane corresponding to natural foliations of Hilbert modular surfaces associated to the field Q. These are concrete models for a very special class of foliations in the recent birational classification of foliations on projective surfaces.
Cite this article
L. G. Mendes, Jorge Vitório Pereira, Hilbert modular foliations on the projective plane. Comment. Math. Helv. 80 (2005), no. 2, pp. 243–291DOI 10.4171/CMH/14