Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities
| dc.contributor.author | Michalska, Maria | |
| dc.contributor.author | Walewska, Justyna | |
| dc.date.accessioned | 2021-12-16T07:33:02Z | |
| dc.date.available | 2021-12-16T07:33:02Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Michalska, M., Walewska, J. Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities. Bull Braz Math Soc, New Series 50, 95–117 (2019). https://doi.org/10.1007/s00574-018-0094-8 | pl_PL |
| dc.identifier.issn | 1678-7544 | |
| dc.identifier.uri | http://hdl.handle.net/11089/40065 | |
| dc.description.abstract | The aim of this paper is to show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularity f. Assuming that f is irreducible, one can write f=∑qα+pβ ≥ pqcαβ xαyβ where cp0c0q≠0, 2≤p<q and p, q are coprime. We show that as Milnor numbers of deformations of f one can attain all numbers from μ(f) to μ(f)−r(p−r), where q≡r(mod p). Moreover, we provide an algorithm which produces the desired deformations. | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Springer Nature | pl_PL |
| dc.relation.ispartofseries | Bulletin of the Brazilian Mathematical Society, New Series;50 | |
| dc.rights | Uznanie autorstwa 4.0 Międzynarodowe | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Milnor numbers | pl_PL |
| dc.subject | Deformations of singularities | pl_PL |
| dc.subject | Nondegenerate singularities | pl_PL |
| dc.subject | Euclid’s algorithm | pl_PL |
| dc.subject | Newton polygon | pl_PL |
| dc.title | Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities | pl_PL |
| dc.type | Article | pl_PL |
| dc.page.number | 95-117 | pl_PL |
| dc.contributor.authorAffiliation | Uniwersytet Łódzki, Wydział Matematyki i Informatyki, Banacha 22, 90-238 Łódź, Polska | pl_PL |
| dc.contributor.authorAffiliation | Universidade de São Paulo, ICMC, Avenida Trabalhador São-carlense, 400 Centro, 13566-590 São Carlos, SP, Brazil | pl_PL |
| dc.contributor.authorAffiliation | Uniwersytet Łódzki, Wydział Matematyki i Informatyki, Banacha 22, 90-238 Łódź, Polska | pl_PL |
| dc.identifier.eissn | 1678-7714 | |
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| dc.contributor.authorEmail | Maria.Michalska@math.uni.lodz.pl | pl_PL |
| dc.identifier.doi | 10.1007/s00574-018-0094-8 | |
| dc.discipline | matematyka | pl_PL |
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