Model \(CR\)-manifolds with one-dimensional complex tangent (Q1033824)

The type of the Levi-Tanaka algebra for a completely nondegenerate model surface is the pair \((n,K)\), where \(n\) is the complex dimension of the complex tangent and \(K\) is the real codimension. The author studies the groups of holomorphic automorphisms of model surfaces of type \((1,8), (1,9),\dots , (1,12)\). Thus he obtains a complete investigation of automorphisms of the model surfaces with one-dimensional complex tangent whose Levi-Tanaka is of length not exceeding five. After obtaining the reduction of the equations, he studies the algebra of automorphisms and obtains the explicit form of the automorphism algebra \(aut\;Q\) of the model surfaces of type \((1,K)\) for \(8\leq K\leq 12\).