We prove that for a toric manifold (respectively, a quasitoric manifold) $M$, any graded ring isomorphism $H^st(M) o H^st(prod_{i=1}^{m}mathbb CP^{n_i})$ can be realized by a diffeomorphism (respectively, a homeomorphism) $prod_{i=1}^m mathbb CP^{n_i} o M$.
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机译：我们证明对于复曲面流形（分别为准流形）$ M $，任何渐变的环同构$ H ^ ast（M） to H ^ ast（ prod_ {i = 1} ^ {m} mathbb CP ^ {n_i}）$可以通过微变（分别是同胚）$ prod_ {i = 1} ^ m mathbb CP ^ {n_i} 至M $来实现。
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