dc.contributor.author
Marín, D.
dc.contributor.author
Mattei, J. F.
dc.contributor.author
Salem, E.
dc.date.accessioned
2024-12-16T11:33:43Z
dc.date.available
2024-12-16T11:33:43Z
dc.date.issued
2024-08-01
dc.identifier.uri
http://hdl.handle.net/2072/479374
dc.description.abstract
In this work we use our previous results on the topological classification of generic singular foliation germs on (C^2 , 0) to construct complete families: after fixing the semi-local topological invariants we prove the existence of a minimal family of foliation germs that contains all the topological classes and such that any equisingular global family with parameter space an arbitrary complex manifold factorizes through it.
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dc.description.sponsorship
The first author was supported by the Spanish Ministry of Science, Innovation and Universities, through grant PID2021-125625NB-I00 and by the Agency for Management of University and Research Grants of Catalonia through the grants 2017SGR1725 and 2021SGR01015. This work was also supported by the Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M) . The third author was supported by the CNRS through a delegation.
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dc.format.extent
27 p.
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dc.publisher
American Mathematical Society
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dc.relation.ispartof
Transactions Of The American Mathematical Society
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dc.rights
Attribution-NonCommercial 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by-nc/4.0/
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dc.subject.other
Complex dynamical systems
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dc.subject.other
Complex ordinary differential equations
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dc.subject.other
Holomorphic vector fields
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dc.subject.other
Holomorphic foliations
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dc.subject.other
Singularities
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dc.subject.other
Holonomy
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dc.subject.other
Moduli space
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dc.subject.other
Complete families
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dc.subject.other
Universal deformation
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dc.title
Topological Moduli Space For Germs Of Holomorphic Foliations III: Complete Families
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.identifier.doi
10.1090/tran/9250
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
