Higher order contact of real curves in a real hyperquadric
Villarroel, Yuli
Archivum Mathematicum, Tome 032 (1996), p. 57-73 / Harvested from Czech Digital Mathematics Library
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Let $\Phi $ be an hermitian quadratic form, of maximal rank and index $(n,1)$% , defined over a complex $(n+1)$ vectorial space $V$. Consider the real hyperquadric defined in the complex projective space $P^nV$ by \[ Q=\{[\varsigma ]\in P^nV,\;\Phi (\varsigma )=0\}, \] let $G$ be the subgroup of the special linear group which leaves $Q$ invariant and $D$ the $(2n-2)$ distribution defined by the Cauchy Riemann structure induced over $Q$. We study the real regular curves of constant type in $Q$, transversal to $D$, finding a complete system of analytic invariants for two curves to be locally equivalent under transformations of $G$.

Publié le : 1996-01-01
Classification:  32F40,  53B25,  53C15 
@article{107561,
     author = {Yuli Villarroel},
     title = {Higher order contact of real curves in a real hyperquadric},
     journal = {Archivum Mathematicum},
     volume = {032},
     year = {1996},
     pages = {57-73},
     zbl = {0870.53025},
     mrnumber = {1399840},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107561}
}

Villarroel, Yuli. Higher order contact of real curves in a real hyperquadric. Archivum Mathematicum, Tome 032 (1996) pp. 57-73. http://gdmltest.u-ga.fr/item/107561/

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