Classification formelle de feuilletages singuliers de (C2, 0)

Jean François Mattei; Éliane Salem

doi:10.1016/s0764-4442(97)80058-4

Classification formelle de feuilletages singuliers de (C², 0)

Translated title of the contribution: Formal classification of singular foliations of (C², 0)

Jean François Mattei, Éliane Salem

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Under generic conditions, we give a complete list of local formal invariants for a germ of a formal (singular) foliation ℱ_ω at the origin of C², i.e. given by a differential 1-form ω = a(x, y) dx + b(x, y) dy with formal coefficients.

Translated title of the contribution	Formal classification of singular foliations of (C², 0)
Original language	French
Pages (from-to)	773-778
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	325
Issue number	7
DOIs	https://doi.org/10.1016/s0764-4442(97)80058-4
State	Published - 1 Jan 1997
Externally published	Yes

ASJC Scopus subject areas

Mathematics (all)

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10.1016/s0764-4442(97)80058-4

Cite this

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title = "Classification formelle de feuilletages singuliers de (C2, 0)",

abstract = "Under generic conditions, we give a complete list of local formal invariants for a germ of a formal (singular) foliation ℱω at the origin of C2, i.e. given by a differential 1-form ω = a(x, y) dx + b(x, y) dy with formal coefficients.",

author = "Mattei, {Jean Fran{\c c}ois} and {\'E}liane Salem",

year = "1997",

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N2 - Under generic conditions, we give a complete list of local formal invariants for a germ of a formal (singular) foliation ℱω at the origin of C2, i.e. given by a differential 1-form ω = a(x, y) dx + b(x, y) dy with formal coefficients.

AB - Under generic conditions, we give a complete list of local formal invariants for a germ of a formal (singular) foliation ℱω at the origin of C2, i.e. given by a differential 1-form ω = a(x, y) dx + b(x, y) dy with formal coefficients.

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ER -

Classification formelle de feuilletages singuliers de (C², 0)

Abstract

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