Cubic Model CR-Manifolds Without the Assumption of Complete Nondegeneracyстатья
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Дата последнего поиска статьи во внешних источниках: 26 декабря 2018 г.
Аннотация:Abstract. In the paper, we study model surfaces with H¨ormander numbers (2, 3) without
satisfying the condition of complete nondegeneracy. Simple criteria are given for the finiteness
of the type, holomorphic nondegeneracy, and holomorphic homogeneity. It is proved that the
dimension of the automorphism group of the model surface is maximal in the class of germs
subordinated to the surface, and also that this group is a Lie subgroup of the Cremona group.
We consider the case of a surface with a unique H¨ormander number 3 separately.