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algebraic restrictions

Proceedings of the Edinburgh Mathematical Society (1)

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Symplectic T7, T8 singularities and Lagrangian tangency orders
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Wojciech Domitrz, Żaneta Trȩbska
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 55 / Issue 3 / October 2012

Published online by Cambridge University Press:

28 August 2012, pp. 657-683
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We study the local symplectic algebra of curves. We use the method of algebraic restrictions to classify symplectic T7, T8 singularities. We define discrete symplectic invariants (the Lagrangian tangency orders) and compare them with the index of isotropy. We use these invariants to distinguish symplectic singularities of classical T7 singularity. We also give the geometric description of symplectic classes of the singularity.