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Rigid isotopy classification of real quadric line complexes and associated Kummer surfaces

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Abstract

The paper deals with rigid isotopy classes of three-dimensional real quadric line complexes and associated Kummer surfaces. We prove that there exist twelve rigid isotopy classes of real quadric line complexes and seven rigid isotopy classes of associated Kummer surfaces. Characteristics determining these rigid isotopy classes are given.

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Authors and Affiliations

  1. Yaroslavl State University, Yaroslavl, Russia

    V. A. Krasnov

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  1. V. A. Krasnov
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Correspondence to V. A. Krasnov.

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Original Russian Text © V. A. Krasnov, 2011, published in Matematicheskie Zametki, 2011, Vol. 89, No. 5, pp. 705–718.

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Krasnov, V.A. Rigid isotopy classification of real quadric line complexes and associated Kummer surfaces. Math Notes 89, 661–671 (2011). https://doi.org/10.1134/S0001434611050075

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