Differential invariance of the multiplicity of real and complex analytic sets

This paper is devoted to proving the differential invariance of the multiplicity of real and complex analytic sets. In particular, we prove the real version of the Gau-Lipman theorem, i.e., it is proved that the multiplicity mod 2 of real analytic sets is a differential invariant. We also prove a ge...

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Autor: Sampaio, Jose Edson|||0000-0002-4295-4676
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:251927
Acceso en línea:https://ddd.uab.cat/record/251927
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6612214
Access Level:acceso abierto
Palabra clave:Zariski's multiplicity conjecture
Analytic sets
Multiplicity
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spelling Differential invariance of the multiplicity of real and complex analytic setsSampaio, Jose Edson|||0000-0002-4295-4676Zariski's multiplicity conjectureAnalytic setsMultiplicityThis paper is devoted to proving the differential invariance of the multiplicity of real and complex analytic sets. In particular, we prove the real version of the Gau-Lipman theorem, i.e., it is proved that the multiplicity mod 2 of real analytic sets is a differential invariant. We also prove a generalization of the Gau-Lipman theorem. 22022-01-0120222022-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/251927https://dx.doi.org/urn:doi:10.5565/PUBLMAT6612214reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2519272026-06-06T12:50:31Z
dc.title.none.fl_str_mv Differential invariance of the multiplicity of real and complex analytic sets
title Differential invariance of the multiplicity of real and complex analytic sets
spellingShingle Differential invariance of the multiplicity of real and complex analytic sets
Sampaio, Jose Edson|||0000-0002-4295-4676
Zariski's multiplicity conjecture
Analytic sets
Multiplicity
title_short Differential invariance of the multiplicity of real and complex analytic sets
title_full Differential invariance of the multiplicity of real and complex analytic sets
title_fullStr Differential invariance of the multiplicity of real and complex analytic sets
title_full_unstemmed Differential invariance of the multiplicity of real and complex analytic sets
title_sort Differential invariance of the multiplicity of real and complex analytic sets
dc.creator.none.fl_str_mv Sampaio, Jose Edson|||0000-0002-4295-4676
author Sampaio, Jose Edson|||0000-0002-4295-4676
author_facet Sampaio, Jose Edson|||0000-0002-4295-4676
author_role author
dc.subject.none.fl_str_mv Zariski's multiplicity conjecture
Analytic sets
Multiplicity
topic Zariski's multiplicity conjecture
Analytic sets
Multiplicity
description This paper is devoted to proving the differential invariance of the multiplicity of real and complex analytic sets. In particular, we prove the real version of the Gau-Lipman theorem, i.e., it is proved that the multiplicity mod 2 of real analytic sets is a differential invariant. We also prove a generalization of the Gau-Lipman theorem.
publishDate 2022
dc.date.none.fl_str_mv 2
2022-01-01
2022
2022-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
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format article
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https://dx.doi.org/urn:doi:10.5565/PUBLMAT6612214
url https://ddd.uab.cat/record/251927
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6612214
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
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dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
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instname:Universitat Autònoma de Barcelona
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collection Dipòsit Digital de Documents de la UAB
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