Symplectic $W_8, W_9$ singularities

Mathematics – Symplectic Geometry

Scientific paper

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22 pages. arXiv admin note: substantial text overlap with arXiv:1001.3351 and arXiv:1101.5176

Scientific paper

We study the local symplectic algebra of curves. We use the method of
algebraic restrictions to classify symplectic $W_8$ and $W_9$ singularities. We
use discrete symplectic invariants to distinguish symplectic singularities of
the curves. We also give the geometric description of symplectic classes.

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