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On  cohomology of ACH Kähler manifolds |
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| Authors: | Xiaodong Wang |
| Institution: | Department of Mathematics, Michigan State University, East Lansing, Michigan 48824 |
| Abstract: | We discuss a class of complete Kähler manifolds which are asymptotically complex hyperbolic near infinity. The main result is a sharp vanishing theorem for the second  cohomology of such manifolds under certain assumptions. The borderline case characterizes a Kähler-Einstein manifold constructed by Calabi. |
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