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Differential topology of quotients of complex surfaces by complex conjugation

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Abstract

The paper contains a brief survey of the author’s results on the diffeomorphism type of quotients of complex surfaces by anti-holomorphic involutions. The conjecture of complete decomposability is discussed, which says that if such a quotient is simply connected, then it is completely decomposable, i.e., is diffeomorphic to the connected sum of several copies of the projective plane (possibly, with reversed orientation) and the quadric. Bibliography: 11 titles.

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Authors
  1. S. M. Finashin
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 231, 1995, pp. 215–221.

Translated by O. A. Ivanov.

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Finashin, S.M. Differential topology of quotients of complex surfaces by complex conjugation. J Math Sci 91, 3472–3475 (1998). https://doi.org/10.1007/BF02434925

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  • DOI: https://doi.org/10.1007/BF02434925

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