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First Steps of Local Contact Algebra

  Published:1999-12-01
 Printed: Dec 1999
  • V. I. Arnold
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Abstract

We 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.
Keywords: contact manifolds, local contact algebra, Diracian, contactian contact manifolds, local contact algebra, Diracian, contactian
MSC Classifications: 53D10, 14B05 show english descriptions Contact manifolds, general
Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx]
53D10 - Contact manifolds, general
14B05 - Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx]
 

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