我們根據 Y. Karshon 博士在1998年發表的論文《 Periodic Hamiltonian Flows on Four Dimensional Manifolds 》研究對於在複射影平面上具有有限不動點的一維球作用進行分類。我們的結論是:每個這樣的作用都會辛同構到線性作用。;We classify the effective Hamiltonian $S^1$-actions with finite fixed points on the complex projective plane based on the work of Y. Karshon, ``Periodic Hamiltonian Flows on Four Dimensional Manifolds". Our conclusion is that every such action is symplectomorphic to a standard linear case.
