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We give a series of integrable top equations associated with the projectivegeometry over Z_2 as a (2^n-1)-dimensional generalisation of the 3D Euler topequations. The general solution of the (2^n-1)D top is shown to be given by anintegration over a Riemann surface with genus (2^{n-1}-1)^2.Comment: 8 pages, Late

Integrable top equations associated with projective geometry over