Indices of 1-forms and Newton polyhedra.

Esterov, 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 -