dc.identifier.uri |
http://dx.doi.org/10.15488/2693 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2719 |
|
dc.contributor.author |
Ebeling, Wolfgang
|
|
dc.contributor.author |
Gusein-Zade, Sabir M.
|
|
dc.date.accessioned |
2018-01-29T14:13:17Z |
|
dc.date.available |
2018-01-29T14:13:17Z |
|
dc.date.issued |
2005 |
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dc.identifier.citation |
Ebeling, W.; Gusein-Zade, S.M.: On the arc filtration for the singularities of Arnold's lists. In: Mathematical Proceedings of the Cambridge Philosophical Society 138 (2005), Nr. 2, S. 307-314. DOI: https://doi.org/10.1017/S0305004104008151 |
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dc.description.abstract |
In a previous paper, the authors introduced a filtration on the ring script O signv,0 of germs of functions on a germ (V, 0) of a complex analytic variety defined by arcs on the singularity and called the arc filtration. The Poincaré series of this filtration were computed for simple surface singularities in the 3-space. Here they are computed for surface singularities from Arnold's lists including uni - and bimodular ones. The classification of the unimodular singularities by these Poincaré series turns out to be in accordance with their hierarchy defined by E. Brieskorn using the adjacency relations. We also give a general formula for the Poincaré series of the arc filtration for isolated surface singularities which are stabilizations of plane curve ones. © 2005 Cambridge Philosophical Society. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Cambridge : Cambridge University Press |
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dc.relation.ispartofseries |
Mathematical Proceedings of the Cambridge Philosophical Society 138 (2005), Nr. 2 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
|
dc.subject |
arc filtration |
eng |
dc.subject |
Arnold |
eng |
dc.subject |
geometry |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
On the arc filtration for the singularities of Arnold's lists |
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dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
0305-0041 |
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dc.relation.doi |
https://doi.org/10.1017/S0305004104008151 |
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dc.bibliographicCitation.issue |
2 |
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dc.bibliographicCitation.volume |
138 |
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dc.bibliographicCitation.firstPage |
307 |
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dc.bibliographicCitation.lastPage |
314 |
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dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|