On the generalized Nash problem for smooth germs and adjacencies of curve singularities

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dc.contributor.authorFernández de Bobadilla, Javier
dc.contributor.authorPe Pereira, María
dc.contributor.authorPopescu-Pampu, Patrick
dc.date.accessioned2024-02-01T17:25:55Z
dc.date.available2024-02-01T17:25:55Z
dc.date.issued2017
dc.description.abstractIn this paper we explore the generalized Nash problem for arcs on a germ of smooth surface: given two prime divisors above its special point, to determine whether the arc space of one of them is included in the arc space of the other one. We prove that this problem is combinatorial and we explore its relation with several notions of adjacency of plane curve singularities.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyInstituto de Ciencias Matemáticas (ICMAT)
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (España)
dc.description.statuspub
dc.identifier.citationFernández De Bobadilla, Javier, et al. «On the Generalized Nash Problem for Smooth Germs and Adjacencies of Curve Singularities». Advances in Mathematics, vol. 320, noviembre de 2017, pp. 1269-317. https://doi.org/10.1016/j.aim.2017.09.035.
dc.identifier.doi10.1016/j.aim.2017.09.035
dc.identifier.issn0001-8708
dc.identifier.officialurlhttps://doi.org/10.1016/j.aim.2017.09.035
dc.identifier.urihttps://hdl.handle.net/20.500.14352/97933
dc.journal.titleAdvances in Mathematics
dc.language.isoeng
dc.page.final1317
dc.page.initial1269
dc.publisherElsevier
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2013-45710-C2-2-P/ES/SINGULARIDADES Y SUS APLICACIONES A GEOMETRIA, TOPOLOGIA, ALGEBRA Y CRIPTOGRAFIA/
dc.relation.projectIDSEV-2011-0087
dc.rights.accessRightsrestricted access
dc.subject.keywordAdjacency of singularities
dc.subject.keywordApproximate roots
dc.subject.keywordArc spaces
dc.subject.keywordMaximal divisorial set
dc.subject.keywordNash problem
dc.subject.keywordPlane curve singularities
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleOn the generalized Nash problem for smooth germs and adjacencies of curve singularities
dc.typejournal article
dc.volume.number320
dspace.entity.typePublication
relation.isAuthorOfPublication599972e1-d3f0-4c81-ad90-b0bbd0b14e8b
relation.isAuthorOfPublication.latestForDiscovery599972e1-d3f0-4c81-ad90-b0bbd0b14e8b

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