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References
V.I. Arnold, S.M. Gusein-Zade, and A.N. Varchenko. Singularities of Differentiable Maps. Birkhäuser, 1985.
J.W. Bruce and C.T.C. Wall. On the Classification of Cubic Surfaces. J. Lond. Math. Soc., II. ser., (19):245-259, 1979.
A. Cayley. A Memoir on Cubic Surfaces. Philos. Trans. Royal Soc., CLIX:231- 326,1869.
M. Demazure. Surfaces de Del Pezzo, I, II, III, IV et V. In M. Demazure, H. Pinkham, and B. Teissier, editors, Séminaire sur les singularités des surfaces, Lecture Notes in Math. 777, pages 21-69. Springer-Verlag, 1980.
A. Dimca. Topics on Real and Complex Singularities. Vieweg, 1987.
S. Endraß. Symmetrische Flächen mit vielen gewöhnlichen Doppelpunkten. PhD thesis, Fr.-A.-Universität Erlangen-Nürnberg, 1996.
S. Endraß. Surf 1.0.3. http://surf.sourceforge.net, 2001. A Computer Software for Visualising Real Algebraic Geometry.
G. Fischer. Mathematische Modelle/Mathematical Models. Vieweg, 1986. Bildband, Kommentarband.
G.-M. Greuel, G. Pfister, and H. Schönemann. Singular 2.0. A Computer Algebra System for Polynomial Computations, Univ. Kaiserslautern, 2001. http://www.singular.uni-kl.de.
S. Holzer, O. Labs, and R. Morris. surfex - Visualization of Real Algebraic Surfaces. www.surfex.AlgebraicSurface.net, 2005.
F. Klein.Über Flächen dritter Ordnung. Math. Annalen, VI:551-581, Tafeln I-VI, 1873. also in: [12], p. 11-62.
F. Klein. Gesammelte Mathematische Abhandlungen, volume II. Verlag von Julius Springer, Berlin, 1922.
H. Knörrer and T. Miller. Topologische Typen reeller kubischer Flächen. Mathematische Zeitschrift, 195, 1987.
O. Labs. Algebraic Surface Homepage. Information, Images and Tools on Algebraic Surfaces. www.AlgebraicSurface.net, 2003.
O. Labs and D. van Straten. The Cubic Surface Homepage. www.CubicSurface.net, 2000.
O. Labs and D. van Straten. A Visual Introduction to Cubic Surfaces Using the Computer Software Spicy. In M. Joswig and N. Takayama, editors, Algebra, Geometry, and Software Systems, pages 225-238. Springer, 2003.
R. Morris. LSMP: Liverpool surface modeling package. http://www singsurf.org, 2003.
K. Polthier. JavaView. www.JavaView.de, 2001.
L. Schläfli. On the Distribution of Surfaces of the Third Order into Species, in Reference to the Presence or Absence of Singular Points and the Reality of their Lines. Philos. Trans. Royal Soc., CLIII:193-241, 1863.
B. Segre. The non-singular Cubic Surfaces. Clarendon, Oxford, 1942.
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Holzer, S., Labs, O. (2006). Illustrating the classification of real cubic surfaces. In: Elkadi, M., Mourrain, B., Piene, R. (eds) Algebraic Geometry and Geometric Modeling. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33275-6_8
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