Symplectic Singularity of Curves with Semigroups (4, 5, 6, 7), (4, 5, 6) and (4, 5, 7)

Fausto Assunção Brito Lira , Wojciech Domitrz , Roberta Wik Atique


We study the local symplectic algebra of curves with semigroups (4, 5, 6, 7), (4, 5, 6) and (4, 5, 7). We use the method of algebraic restrictions to parameterized curves as in Domitrz (Fund Math 204(1):57–86, 2009). A new discrete invariant for algebraic restrictions to parameterized quasi-homogeneous curves is introduced. This invariant together with the method of algebraic restriction can distinguish different symplectic orbits of quasi-homogeneous curves.
Author Fausto Assunção Brito Lira
Fausto Assunção Brito Lira,,
, Wojciech Domitrz (FMIS / DAST)
Wojciech Domitrz,,
- Department of Analysis and Sigularity Theory
, Roberta Wik Atique
Roberta Wik Atique,,
Journal seriesBulletin of the Brazilian Mathematical Society, ISSN 1678-7544, e-ISSN 1678-7714, [0100-3569]
Issue year2019
Publication size in sheets1.2
Keywords in Polishkrzywe, algebraiczne obcięcia, osobliwości
Keywords in EnglishCurves, Algebraic restrictions, Singularities
ASJC Classification2600 General Mathematics
Abstract in PolishBadamy lokalną algebrę symplektyczną krzywych o półgrupach (4, 5, 6, 7), (4, 5, 6) i (4, 5, 7). Używamy metody algebraicznych obcięć dla krzywych parametrycznych opisanej w pracy W. Domitrz, Fund Math 204(1):57–86, 2009. Wprowadzamy nowy dyskretny niezmiennik algebraicznych obcięć do parametrycznych krzywych quasi-jednorodnych. Ten niezmiennik razem z metodą algebraicznych obcięć pozwala na rozróżnienie różnych orbit symplektycznych krzywych parametrycznych.
Languageen angielski
Score (nominal)40
Score sourcejournalList
ScoreMinisterial score = 40.0, 18-02-2020, ArticleFromJournal
Publication indicators Scopus Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.841; WoS Impact Factor: 2018 = 0.5 (2) - 2018=0.602 (5)
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