Abstract

The class IV2\sf IV2 of 22-nondegenerate constant Levi rank 11 hypersurfaces M5⊂C3M5⊂C3 is governed by Pocchiola's two primary invariants W0W0 and J0J0. Their vanishing characterizes equivalence of such a hypersurface M5M5 to the tube M5LCMLC5 over the real light cone in R3R3. When either W0≢0W0≢0 or J0≢0J0≢0, by normalization of certain two group parameters cc and ee, an invariant coframe can be built on M5M5, showing that the dimension of the CR automorphism group drops from 1010 to 55. This paper constructs an explicit {e}{e}-structure in case W0W0 and J0J0 do not necessarily vanish. Furthermore, Pocchiola's calculations hidden on a computer now appear in details, especially the determination of a secondary invariant RR, expressed in terms of the first jet of W0W0. All other secondary invariants of the {e}{e}-structure are also expressed explicitly in terms of W0W0 and J0J0.

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