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Description of the algebra of infinitesimal automorphisms of quadrics of codimension two and their classification

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References

  1. V. K. Beloshapka, “Finite-dimensionality of the automorphism group of a real analytic surface,”Izv. Akad. Nauk SSSR. Ser. Mat.,52, No. 2, 437–442 (1988).

    Google Scholar 

  2. A. E. Tumanov and G. M. Henkin, “Local characterization of holomorphic automorphisms of Siegel domains,”Funkts. Anal. Prilozh.,17, No. 4, 49–61 (1983).

    Google Scholar 

  3. A. E. Tumanov, “Finite-dimensionality of the group ofCR-automorphisms of a standardCR-manifold and proper holomorphic maps of Siegel domains,”Izv. Akad. Nauk SSSR. Ser. Mat.,52, No. 3, 651–659 (1988).

    Google Scholar 

  4. V. K. Beloshapka, “Uniqueness theorem for automorphisms of a nondegenerate surface in a complex space,”Mat. Zametki,47, No. 3, 17–22 (1990).

    Google Scholar 

  5. R. A. Horn and C. R. Johnson,Matrix Analysis, Cambridge University Press, New York (1985).

    Google Scholar 

  6. A. V. Abrosimov, “Local automorphisms of some quadrics of codimension two,”Mat. Zametki,52, No. 1, 9–14 (1992).

    Google Scholar 

  7. H. W. Turnbull, “On the equivalence of pencils of Hermitian forms,”Proc. London Math. Soc (2),39, No. 3, 232–248.

  8. F. R. Gantmakher,Matrix Theory [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  9. A. V. Abrosimov,Description of locally biholomorphic automorphisms of standard quadrics of codimension 2.Preprint (1992).

  10. V. V. Ezov and G. Schmalz,CR automorphisms of nondegenerate quadrics of codimension two in ℂ5.Preprint, Max-Planck Institut für Mathematik.

  11. S. N. Shevchenko,Description of the algebra of infinitesimal automorphisms of codimension two and their classification. Preprint, Moscow State University.

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Authors
  1. S. N. Shevchenko
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Additional information

This research was accomplished with the financial support of the Russian Foundation for Fundamental Research, Grant No. 93-011-225.

Translated from Matematicheskie Zametki, Vol. 55, No. 5, pp. 142–153, May, 1994.

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Shevchenko, S.N. Description of the algebra of infinitesimal automorphisms of quadrics of codimension two and their classification. Math Notes 55, 534–542 (1994). https://doi.org/10.1007/BF02110382

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