Bounding the degree of solutions to Pfaff equations

Marco Brunella; Luis Gustavo Mendes

Publicacions Matemàtiques (2000)

  • Volume: 44, Issue: 2, page 593-604
  • ISSN: 0214-1493

Abstract

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We study hypersurfaces of complex projective manifolds which are invariant by a foliation, or more generally which are solutions to a Pfaff equation. We bound their degree using classical results on logarithmic forms.

How to cite

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Brunella, Marco, and Mendes, Luis Gustavo. "Bounding the degree of solutions to Pfaff equations." Publicacions Matemàtiques 44.2 (2000): 593-604. <http://eudml.org/doc/41409>.

@article{Brunella2000,
abstract = {We study hypersurfaces of complex projective manifolds which are invariant by a foliation, or more generally which are solutions to a Pfaff equation. We bound their degree using classical results on logarithmic forms.},
author = {Brunella, Marco, Mendes, Luis Gustavo},
journal = {Publicacions Matemàtiques},
keywords = {Problema de Poincaré; Variedades proyectivas; Variedades complejas; Hipersuperficies; Foliaciones; Pfaff equation; foliation; Poincaré problem; normal crossing hypersurface},
language = {eng},
number = {2},
pages = {593-604},
title = {Bounding the degree of solutions to Pfaff equations},
url = {http://eudml.org/doc/41409},
volume = {44},
year = {2000},
}

TY - JOUR
AU - Brunella, Marco
AU - Mendes, Luis Gustavo
TI - Bounding the degree of solutions to Pfaff equations
JO - Publicacions Matemàtiques
PY - 2000
VL - 44
IS - 2
SP - 593
EP - 604
AB - We study hypersurfaces of complex projective manifolds which are invariant by a foliation, or more generally which are solutions to a Pfaff equation. We bound their degree using classical results on logarithmic forms.
LA - eng
KW - Problema de Poincaré; Variedades proyectivas; Variedades complejas; Hipersuperficies; Foliaciones; Pfaff equation; foliation; Poincaré problem; normal crossing hypersurface
UR - http://eudml.org/doc/41409
ER -

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