Rigid Isotopy Classification of Real Quadric Line Complexes and Associated Kummer Surfaces
Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 705-718

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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.
Keywords: quadric line complex, Kummer surface, rigid isotopy class, quadratic, biquadratic, Grassmann variety, Klein quadratic, Plücker coordinates.
@article{MZM_2011_89_5_a6,
     author = {V. A. Krasnov},
     title = {Rigid {Isotopy} {Classification} of {Real} {Quadric} {Line} {Complexes} and {Associated} {Kummer} {Surfaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {705--718},
     publisher = {mathdoc},
     volume = {89},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_5_a6/}
}
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V. A. Krasnov. Rigid Isotopy Classification of Real Quadric Line Complexes and Associated Kummer Surfaces. Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 705-718. http://geodesic.mathdoc.fr/item/MZM_2011_89_5_a6/