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For an algebraically closed field K with ch K \not = 2, we determine the Chowring of the moduli space of holomorphic bundles on a projective plane with thestructure group SO(n,K) and half the first Pontryagin index being equal to 1,each of which is trivial on a fixed line and has a fixed holomorphictrivialization there.

The Chow ring of the moduli space and its related homogeneous space of bundles on P^2 with charge 1