Le constant families of singular hypersurfaces *

We investigate the constancy of the Le numbers of one parameter deformations F :(C X Cn, 0) - (C, 0) of holomorphic germs of functions f :(Cn, 0) - (C, 0) which have singular set with any dimension s > 1. We characterize le constant deformations in terms of the non-splitting of the polar varietie...

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Autores principales:	Callejas-Bedregal,R, Perez,V. H, Saia,M. J, Tomazella,J. N
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2012
Materias:	Le constant families Polar varieties
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000400002
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spelling	oai:scielo:S0716-091720120004000022012-12-18Le constant families of singular hypersurfaces *Callejas-Bedregal,RPerez,V. HSaia,M. JTomazella,J. N Le constant families Polar varieties We investigate the constancy of the Le numbers of one parameter deformations F :(C X Cn, 0) - (C, 0) of holomorphic germs of functions f :(Cn, 0) - (C, 0) which have singular set with any dimension s > 1. We characterize le constant deformations in terms of the non-splitting of the polar varieties and also from the integral closure of the ideal Jz (F) in On+1 generated by the partial derivatives of F with respect to the variables z = (z!,...,z n).info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.31 n.4 20122012-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000400002en10.4067/S0716-09172012000400002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Le constant families Polar varieties
spellingShingle	Le constant families Polar varieties Callejas-Bedregal,R Perez,V. H Saia,M. J Tomazella,J. N Le constant families of singular hypersurfaces *
description	We investigate the constancy of the Le numbers of one parameter deformations F :(C X Cn, 0) - (C, 0) of holomorphic germs of functions f :(Cn, 0) - (C, 0) which have singular set with any dimension s > 1. We characterize le constant deformations in terms of the non-splitting of the polar varieties and also from the integral closure of the ideal Jz (F) in On+1 generated by the partial derivatives of F with respect to the variables z = (z!,...,z n).
author	Callejas-Bedregal,R Perez,V. H Saia,M. J Tomazella,J. N
author_facet	Callejas-Bedregal,R Perez,V. H Saia,M. J Tomazella,J. N
author_sort	Callejas-Bedregal,R
title	Le constant families of singular hypersurfaces *
title_short	Le constant families of singular hypersurfaces *
title_full	Le constant families of singular hypersurfaces *
title_fullStr	Le constant families of singular hypersurfaces *
title_full_unstemmed	Le constant families of singular hypersurfaces *
title_sort	le constant families of singular hypersurfaces *
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2012
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000400002
work_keys_str_mv	AT callejasbedregalr leconstantfamiliesofsingularhypersurfaces AT perezvh leconstantfamiliesofsingularhypersurfaces AT saiamj leconstantfamiliesofsingularhypersurfaces AT tomazellajn leconstantfamiliesofsingularhypersurfaces
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Le constant families of singular hypersurfaces *

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