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The orbit space of the automorphism group of a model surface of type (1, 2)

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Abstract

Each model surface is associated with the group of its holomorphic automorphisms. This group birationally acts on the ambient complex space. One of orbits of this action is the model surface itself (and it is a singular one). The structure of the family of all orbits of this action is discussed in the paper. For a model CR-surface of type (1,2), i.e., a 4-dimensional real surface in C 3, a full description of the structure of the space of the associated orbits is given.

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References

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Original Russian Text © V.K. Beloshapka, 2008, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2008, Vol. 63, No. 3, pp. 13–16.

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Beloshapka, V.K. The orbit space of the automorphism group of a model surface of type (1, 2). Moscow Univ. Math. Bull. 63, 92–95 (2008). https://doi.org/10.3103/S0027132208030029

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  • DOI: https://doi.org/10.3103/S0027132208030029

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