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Hartshorne ellipse

In mathematics, a Hartshorne ellipse is an ellipse in the unit ball bounded by the 4-sphere S<sup>4</sup> such that the ellipse and the circle given by intersection of its plane with S<sup>4</sup> satisfy the Poncelet condition that there is a triangle with vertices on the circle and edges tangent to the ellipse. They were introduced by , who showed that they correspond to k&nbsp;=&nbsp;2 instantons on S<sup>4</sup>.

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