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dc.contributor.authorKerner, Dmitry
dc.date.accessioned2016-10-10T08:33:47Z
dc.date.available2016-10-10T08:33:47Z
dc.date.issued2008
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1220
dc.descriptionOWLF 2008en_US
dc.description.abstractWe study a specific class of deformations of curve singularities: the case when the singular point splits to several ones, such that the total $\delta$ invariant is preserved. These are also known as equi-normalizable or equi-generic deformations. We restrict primarily to the deformations of singularities with smooth branches. A new invariant of the singular type is introduced: the dual graph. It imposes severe restrictions on the possible collisions/deformations. And allows to prove some bounds on the variation of classical invariants in collisions. We consider in details the $\delta=const$ deformations of ordinary multiple point, the deformation of a singularity into the collection of ordinary multiple points and the deformation of the type $x^p+y^{pk}$ into a collection of $A_k$'s.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2008,15
dc.subjectdeformations of singularitiesen_US
dc.subjectequisingular familiesen_US
dc.subjectinvariants of local ringen_US
dc.subjectsemi-continuous invariantsen_US
dc.subjectdeltainvarianten_US
dc.titleOn the δ=const Collisions of Singularities of Complex Plane Curvesen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2008-15
local.scientificprogramOWLF 2008en_US
local.series.idOWP-2008-15
local.subject.msc14
local.subject.msc32
local.subject.msc58
dc.identifier.urnurn:nbn:de:101:1-20081112127
dc.identifier.ppn1647467829


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