# Indices of 1-forms and Newton polyhedra.

Revista Matemática Complutense (2005)

- Volume: 18, Issue: 1, page 233-242
- ISSN: 1139-1138

## Access Full Article

top## Abstract

top## How to cite

topEsterov, Alexander. "Indices of 1-forms and Newton polyhedra.." Revista Matemática Complutense 18.1 (2005): 233-242. <http://eudml.org/doc/44550>.

@article{Esterov2005,

abstract = {A formula of Matsuo Oka (1990) expresses the Milnor number of a germ of a complex analytic map with a generic principal part in terms of the Newton polyhedra of the components of the map. In this paper this formula is generalized to the case of the index of a 1-form on a local complete intersection singularity (Theorem 1.10, Corollaries 1.11, 4.1). In particular, the Newton polyhedron of a 1-form is defined (Definition 1.6). This also simplifies the Oka formula in some particular cases (Propositions 3.5, 3.7).},

author = {Esterov, Alexander},

journal = {Revista Matemática Complutense},

keywords = {Campos vectoriales; Foliaciones; Singularidades; Poliedros de Newton; Newton polyhedra; singularities of holomorphic vector fields},

language = {eng},

number = {1},

pages = {233-242},

title = {Indices of 1-forms and Newton polyhedra.},

url = {http://eudml.org/doc/44550},

volume = {18},

year = {2005},

}

TY - JOUR

AU - Esterov, Alexander

TI - Indices of 1-forms and Newton polyhedra.

JO - Revista Matemática Complutense

PY - 2005

VL - 18

IS - 1

SP - 233

EP - 242

AB - A formula of Matsuo Oka (1990) expresses the Milnor number of a germ of a complex analytic map with a generic principal part in terms of the Newton polyhedra of the components of the map. In this paper this formula is generalized to the case of the index of a 1-form on a local complete intersection singularity (Theorem 1.10, Corollaries 1.11, 4.1). In particular, the Newton polyhedron of a 1-form is defined (Definition 1.6). This also simplifies the Oka formula in some particular cases (Propositions 3.5, 3.7).

LA - eng

KW - Campos vectoriales; Foliaciones; Singularidades; Poliedros de Newton; Newton polyhedra; singularities of holomorphic vector fields

UR - http://eudml.org/doc/44550

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.