The Chow ring of the symmetric space Gl(2n,C)/SO(2n,C)

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We show this Chow ring is $\Z \oplus \Z$. We do this by partitioning the space into 2n subvarieties each of which is fibered over $Gl(2n-2,\C)/SO(2n-2,\C)$.
9 pages, 3 figures

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