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In this paper, we consider deforming a coisotropic submanifold Y in a holomorphic Poisson manifold (X,π). Under the assumption that Y has a holomorphic tubular neighborhood, we associate Y with an L∞-algebra that controls the deformations of Y. This L∞-algebra can also be extended to control the simultaneous deformations of the holomorphic Poisson structure π and the coisotropic submanifold Y.
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