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L 2-cohomology of negatively curved Kähler manifolds of finite volume

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Abstract.

We compute the space of L 2 harmonic forms (outside the middle degrees) on negatively curved Kähler manifolds of finite volume.

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Correspondence to N. Yeganefar.

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Received: June 2004 Revision: August 2004 Accepted: September 2004

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Yeganefar, N. L 2-cohomology of negatively curved Kähler manifolds of finite volume. GAFA, Geom. funct. anal. 15, 1128–1143 (2005). https://doi.org/10.1007/s00039-005-0535-6

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  • DOI: https://doi.org/10.1007/s00039-005-0535-6

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