First Steps of Local Contact Algebra

Author:

Arnold V. I.

Abstract

AbstractWe consider germs of mappings of a line to contact space and classify the first simple singularities up to the action of contactomorphisms in the target space and diffeomorphisms of the line. Even in these first cases there arises a new interesting interaction of local commutative algebra with contact structure.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Symplectic U7,U8 and U9 Singularities;Demonstratio Mathematica;2015-06-01

2. BACK MATTER;Applications of Contact Geometry and Topology in Physics;2013-05-30

3. Applications of Contact Geometry and Topology in Physics;2012-05-14

4. Relative local equivalence of Engel structures;Mathematische Zeitschrift;2012-04-19

5. Symplectic W_8 and W_9 singularities;Journal of Singularities;2012

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