Isolated Hypersurface Singularities and Special Polynomial Realizations of Affine Quadrics
| dc.contributor.author | Fels, G. | |
| dc.contributor.author | Isaev, Alexander | |
| dc.contributor.author | Kaup, W. | |
| dc.contributor.author | Kruzhilin, N. | |
| dc.date.accessioned | 2016-03-08T05:35:44Z | |
| dc.date.available | 2016-03-08T05:35:44Z | |
| dc.date.issued | 2011 | |
| dc.date.updated | 2016-06-14T08:35:03Z | |
| dc.description.abstract | Let V, Ṽ be hypersurface germs in ℂᵐ , each having a quasi-homogeneous isolated singularity at the origin. We show that the biholomorphic equivalence problem for V, V~V~ reduces to the linear equivalence problem for certain polynomials P, P~ arising from the moduli algebras of V, Ṽ. The polynomials P, P~ are completely determined by their quadratic and cubic terms, hence the biholomorphic equivalence problem for V, Ṽ in fact reduces to the linear equivalence problem for pairs of quadratic and cubic forms. | |
| dc.description.sponsorship | The research is supported by the Australian Research Council. The fourth author is supported by the Russian Foundation for Basic Research and grant no. NSh-3476.2010.1 of the Leading Scientific Schools program. | en_AU |
| dc.identifier.issn | 1050-6926 | en_AU |
| dc.identifier.uri | http://hdl.handle.net/1885/100193 | |
| dc.publisher | American Mathematical Society | |
| dc.rights | © Mathematica Josephina, Inc. 2011 | |
| dc.source | Journal of Geometric Analysis | |
| dc.subject | Isolated hypersurface singularities | |
| dc.subject | Gorenstein algebras | |
| dc.title | Isolated Hypersurface Singularities and Special Polynomial Realizations of Affine Quadrics | |
| dc.type | Journal article | |
| local.bibliographicCitation.issue | 3 | en_AU |
| local.bibliographicCitation.lastpage | 782 | en_AU |
| local.bibliographicCitation.startpage | 767 | en_AU |
| local.contributor.affiliation | Fels, G, Universität Tübingen, Germany | en_AU |
| local.contributor.affiliation | Isaev, Alexander, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Department of Mathematics, The Australian National University | en_AU |
| local.contributor.affiliation | Kaup, W, Universität Tübingen, Germany | en_AU |
| local.contributor.affiliation | Kruzhilin, Nikolay, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National University | en_AU |
| local.contributor.authoremail | alexander.isaev@anu.edu.au | en_AU |
| local.contributor.authoruid | u9208582 | en_AU |
| local.description.notes | Imported from ARIES | en_AU |
| local.identifier.absfor | 010111 | en_AU |
| local.identifier.absfor | 010101 | en_AU |
| local.identifier.absseo | 970101 | en_AU |
| local.identifier.ariespublication | f2965xPUB2020 | en_AU |
| local.identifier.citationvolume | 21 | en_AU |
| local.identifier.doi | 10.1007/s12220-011-9223-y | en_AU |
| local.identifier.scopusID | 2-s2.0-80051802290 | |
| local.identifier.thomsonID | 000291745600012 | |
| local.identifier.uidSubmittedBy | u3488905 | en_AU |
| local.publisher.url | http://link.springer.com/ | en_AU |
| local.type.status | Published Version | en_AU |
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