The space of solutions to the Hessian on
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JosΓ© A. GΓ‘lvez; Antonio MartΓnez; Pablo Mira
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Article
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2005
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Elsevier Science
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English
β 255 KB
We construct the space of solutions to the elliptic Monge-AmpΓ¨re equation det(D 2 Ο) = 1 in the plane R 2 with n points removed. We show that, modulo equiaffine transformations and for n > 1, this space can be seen as an open subset of R 3n-4 , where the coordinates are described by the conformal eq