On non-separating simple closed curves in a compact surface.

Luo, Feng

Displaying similar documents to “On non-separating simple closed curves in a compact surface.”

Unisecant curves on a general ruled surface.

Franco Ghione, Alexandru T. Lascu (1978/79)

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Relaxed hyperelastic curves

Ahmet Yücesan, Gözde Özkan, Yasemín Yay (2011)

Annales Polonici Mathematici

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We define relaxed hyperelastic curve, which is a generalization of relaxed elastic lines, on an oriented surface in three-dimensional Euclidean space E³, and we derive the intrinsic equations for a relaxed hyperelastic curve on a surface. Then, by examining relaxed hyperelastic curves in a plane, on a sphere and on a cylinder, we show that geodesics are relaxed hyperelastic curves in a plane and on a sphere. But on a cylinder, they are relaxed hyperelastic curves only in special cases. ...

Reflection curves -- new computation and rendering techniques.

Ulmet, Dan-Eugen (2004)

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On the curves through an general point of a smooth surface in IP3.

Angelo Felice Lopez, Gian P. Pirola (1995)

Mathematische Zeitschrift

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Real algebraic curves in the moduli space of complex curves

Mika Seppälä (1990)

Compositio Mathematica

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Characterizing Curves on Surface of Special Types.

John Little (1985)

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Moduli spaces of stable real algebraic curves

M. Seppälä (1991)

Annales scientifiques de l'École Normale Supérieure

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Special divisors on curves on a K3 surface.

M., Lazarsfeld, R. Green (1987)

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On supercuspidal families of curves on a surface in positive characteristic.

Ichiro Shimada (1992)

Mathematische Annalen

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Geometry of arithmetically Gorenstein curves in P.

Robin Hartshorne (2004)

Collectanea Mathematica

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We characterize the postulation character of arithmetically Gorenstein curves in P. We give conditions under which the curve can be realized in the form mH - K on some ACM surface. Finally, we complement a theorem by Watanabe by showing that any general arithmetically Gorenstein curve in P with arbitrary fixed postulation character can be obtained from a line by a series of ascending complete-intersection biliaisons.

The cone of curves of a K3 surface.

Sándor J. Kovács (1994)

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The irregularity of ruled surfaces in three dimensional projective space.

Luis Giraldo, Ignacio Sols (1998)

Collectanea Mathematica

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Let S be a ruled surface in P3 with no multiple generators. Let d and q be nonnegative integers. In this paper we determine which pairs (d,q) correspond to the degree and irregularity of a ruled surface, by considering these surfaces as curves in a smooth quadric hypersurface in P5.