On the Geometry of the Koras--Russell Cubic Threefold

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Abstract

The Koras–Russel cubic threefold is a complex-affine manifold that is diffeo- morphic to the three-dimensional complex-Euclidean space, but not algebraically isomorphic to the three dimensional complex-affine space as an affine variety. We analyze the topology of the Koras–Russel cubic threefold by means of Morse theory.

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Kamal Khuri-Makdisi Bassam Shayya

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Differential Geometry, Smooth Manifolds, Morse Theory, Koras--Russell Cubic Threefold

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