The Chow ring of the moduli space and its related homogeneous space of bundles on P2 with charge 1

Abstract

For an algebraically closed field K with ch K = 2, we determine the Chow ring of the moduli space of holomorphic bundles on a projective plane with the structure 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 holomorphic trivialization there.

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