Symplectic T7, T8 singularities and Lagrangian tangency orders
Symplectic T7, T8 singularities and Lagrangian tangency orders
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辛 T7、T8 奇点和拉格朗日切阶
DOI：
10.1017/s0013091510001124
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发表时间：
2010
影响因子：
0.7
通讯作者：
.Zaneta Trcebska
中科院分区：
文献类型：
--
作者：
W. Domitrz;.Zaneta Trcebska
摘要研究曲线的局部辛代数。我们利用代数限制的方法对辛T7，T8奇点进行了分类。我们定义了离散辛不变量（拉格朗日切线阶），并将其与各向同性指数进行了比较。我们使用这些不变量来区分经典T7奇异性的辛奇异性。我们还给出了奇点的辛类的几何描述。
Abstract 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.