Geodesic
Symplectic W_8 and W_9 singularities
Journal of Singularities, Tome 6 (2012), pp. 158-178

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In this paper we examine the singularities which are in the list of the simple 1-dimensional isolated complete intersection singularities in the space of dimension greater than 2, obtained by Giusti. Isolated complete intersection singularities (ICIS) were intensively studied by many authors, because of their interesting geometric, topological and algebraic properties. Here using the method of algebraic restrictions we obtain the complete symplectic classification of the singularities of type W_8 and W_9. We calculate discrete symplectic invariants for symplectic orbits of the curves and we give their geometric description. It allows us to explore the specific singular nature of these classical singularities that only appears in the presence of the symplectic structure.
DOI : 10.5427/jsing.2012.6m
Classification : 53D05.14H20, 58K50, 58A10 
@article{10_5427_jsing_2012_6m,
     author = {\.Zaneta Tr\k{e}bska},
     title = {Symplectic {W_8} and {W_9} singularities},
     journal = {Journal of Singularities},
     pages = {158--178},
     publisher = {mathdoc},
     volume = {6},
     year = {2012},
     doi = {10.5427/jsing.2012.6m},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.6m/}
}
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Żaneta Trębska. Symplectic W_8 and W_9 singularities. Journal of Singularities, Tome 6 (2012), pp. 158-178. doi: 10.5427/jsing.2012.6m

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