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Jiawang Nie, Kristian Ranestad, Bernd Sturmfels, The algebraic degree of semidefinite programming, Mathematical Programming 122 ( · 2010

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Singularities and Genus of the k-Ellipse

math.AG · 2019-08-04 · conditional · novelty 8.0

The generic complex k-ellipse has genus (k-2)2^(k-2)+1 for odd k and (k-2)2^(k-2) - C(k-1,k/2)+1 for even k, with all affine singularities nodal and only two exceptional singularities at infinity.

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  • Singularities and Genus of the k-Ellipse math.AG · 2019-08-04 · conditional · none · ref 5

    The generic complex k-ellipse has genus (k-2)2^(k-2)+1 for odd k and (k-2)2^(k-2) - C(k-1,k/2)+1 for even k, with all affine singularities nodal and only two exceptional singularities at infinity.