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Rokhlin's Question and Quotients of Real Algebraic Surfaces by the Complex Conjugation

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Abstract

Complex algebraic surfaces defined over ℝ are considered. Local and global topological properties of their quotients by the complex conjugation are discussed. Bibliography: 9 titles.

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REFERENCES

  1. V. I. Arnold, “On the arrangement of ovals of real plane algebraic curves, involutions on four-dimensional smooth manifolds, and the arithmetic of integer-valued quadratic forms," Funkts. Analiz Prilozh., 5, No. 3, 1–9(1971).

    Google Scholar 

  2. Yu. Chislenko, “Decompositions of simple singularities of real functions," Funkts. Analiz Prilozh., 22, No. 4, 52–67(1988).

    Google Scholar 

  3. A. Dimca, Singularities and Topology of Hypersurfaces, Springer-Verlag, Berlin-New York (1992).

    Google Scholar 

  4. S. Donaldson, “Yang-Mills invariants of smooth four-manifolds," in: Geometry of Low-Dimensional Manifolds, Vol. 1, S. K. Donaldson and C. B. Thomas (eds.), Cambridge Univ. Press, Cambridge (1990).

    Google Scholar 

  5. S. Finashin, “Complex conjugation equivariant topology of complex surfaces," Turk. J. Math., 21, 119–127(1997).

    Google Scholar 

  6. S. Finashin, “Rokhlin's question and smooth quotients by complex conjugation of singular real algebraic surfaces," Amer. Math. Soc. Transl., 202, 109–119(2001).

    Google Scholar 

  7. S. Finashin, “Complex intersection of real cycles in real algebraic varieties and generalized Arnold-Viro inequalities," Preprint, math.AG/9902022.

  8. Looijenga, “Isolated singular points on complex intersections," Lond. Math. Soc. Lect. Note Ser., 77, Cambridge Univ. Press (1984).

  9. R. Mandelbaum and B. Moishezon, “On the topology of simply-connected algebraic surfaces,” Trans. Amer. Math. Soc., 260, 195–222(1980).

    Google Scholar 

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Finashin, S.M. Rokhlin's Question and Quotients of Real Algebraic Surfaces by the Complex Conjugation. Journal of Mathematical Sciences 113, 915–918 (2003). https://doi.org/10.1023/A:1021216208964

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