JournalscmhVol. 80, No. 2pp. 243–291

Hilbert modular foliations on the projective plane

  • L. G. Mendes

    Rio de Janeiro, Brazil

  • Jorge Vitório Pereira

    IMPA, Rio De Janeiro, Brazil
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Abstract

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. 243–291

DOI 10.4171/CMH/14