We study th equilibrium domain structure and magnetic flux around a ferromagnetic film with perpendicular magnetization M-o on a superconducting (SC) substrate. At 4 pi M-olambda (L)) = (l(N)/4 pi lambda (L))(2/3) with the domain width on a normal (nonsuperconducting) substrate, l(N)/4 pi lambda (L)>>1; lambda (L) being the London penetration length.
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