Integrals for holomorphic foliations with singularities having all leaves compact
type: Item
instance of: scholarly article
title: Integrals for holomorphic foliations with singularities having all leaves compact
zbMATH Open document ID: 0667.58052
publication date: 1989-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74837
review text: We show that for a holomorphic foliation with singularities in a projective variety such that every leaf is quasiprojective, the set of rational functions that are constant on the leaves form a field whose transcendence degree equals the codimension of the foliation.
Mathematics Subject Classification ID: 37C85
Mathematics Subject Classification ID: 14A05
Mathematics Subject Classification ID: 32H25
Mathematics Subject Classification ID: 32Sxx
zbMATH DE Number: 4092425
zbMATH Keywords: holomorphic foliation
zbMATH Keywords: quasiprojective
author: X. Gómez-Mont
MaRDI profile type: Publication
OpenAlex ID: W2053944927
cites work: Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
cites work: Q3336052
cites work: Foliations with all leaves compact
cites work: Closedness of the Douady spaces of compact Kähler spaces
cites work: Q5645518
cites work: Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
cites work: Q4143433
cites work: Resolution of singularities of an algebraic variety over a field of characteristic zero. I
cites work: Q5816023
cites work: Q4771357
cites work: Volumes, limits, and extensions of analytic varieties
DOI: 10.5802/AIF.1173
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4092425