Open AccessHilbert modular foliations on the projective plane
Author(s) -
Lu�s Gustavo Mendes,
Jorge Vitório Pereira
Publication year - 2005
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/14
Subject(s) - mathematics , projective plane , pure mathematics , real projective plane , projective test , modular design , plane (geometry) , algebra over a field , geometry , projective space , collineation , computer science , correlation , operating system
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
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