Higher order contact of real curves in a real hyperquadric (Q2716322)

Let \(P^nV\) be the complex projective space defined over a complex \((n+1)\)-vector space \(V\) and \(Q\subset P^nV\) be a real hyperquadric defined by a Hermitian quadratic form of maximal rank and index \((n,1)\) on \(V\). Let \(G\) be the subgroup of the special linear group which leaves \(Q\) invariant and \(D\) be the \(2n\)-distribution defined by the Cauchy-Riemann structure induced on \(Q\). Using the moving frame method, the author finds a complete system of \(G\)-invariants for a real regular curve of constant type in \(Q\) which is tangent to \(D\).