A family of conics and three special ruled surfaces.
Schröcker, Hans-Peter (2001)
Beiträge zur Algebra und Geometrie
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Schröcker, Hans-Peter (2001)
Beiträge zur Algebra und Geometrie
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Düldül, M., Kuruoğlu, N. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Biancofiore, Aldo, Fania, Maria Lucia, Lanteri, Antonio (2006)
Beiträge zur Algebra und Geometrie
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Alberto Calabri, Ciro Ciliberto, Flaminio Flamini, Rick Miranda (2007)
Annales de l’institut Fourier
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We deal with a reducible projective surface with so-called , which are a generalization of normal crossings. First we compute the of , i.e. the dimension of the vector space of global sections of the dualizing sheaf . Then we prove that, when is smoothable, i.e. when is the central fibre of a flat family parametrized by a disc, with smooth general fibre, then the -genus of the fibres of is constant.
Hiromi Ei, Shunji Ito, Hui Rao (2006)
Annales de l’institut Fourier
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The atomic surfaces of unimodular Pisot substitutions of irreducible type have been studied by many authors. In this article, we study the atomic surfaces of Pisot substitutions of reducible type. As an analogue of the irreducible case, we define the stepped-surface and the dual substitution over it. Using these notions, we give a simple proof to the fact that atomic surfaces form a self-similar tiling system. We show that the stepped-surface possesses the quasi-periodic...
Izumiya, Shyuichi, Takeuchi, Nobuko (2003)
Beiträge zur Algebra und Geometrie
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Abdel-Baky, R.A., Abd-Ellah, H.N. (2008)
Archivum Mathematicum
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Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)
Archivum Mathematicum
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In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set , where and are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)
Archivum Mathematicum
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In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set , where and are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.