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The Laplacian on algebraic threefolds with isolated singularities

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Abstract

We give a complete description of the induced Fubini-Study metric (up to quasi-isometry) in a neighbourhood of an isolated complex projective threefold singularity, by using a sufficiently high resolution of singularities. This is then used to prove the self-adjointness of the corresponding Laplacian acting on square integrable functions, on the non-compact smooth locus of complex projective threefolds with isolated singularities.

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  1. Indian Statistical Institute, 8th Mile, Mysore Road, 560 059, Bangalore, India

    Vishwambhar Pati

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  1. Vishwambhar Pati
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Pati, V. The Laplacian on algebraic threefolds with isolated singularities. Proc. Indian Acad. Sci. (Math. Sci.) 104, 435–481 (1994). https://doi.org/10.1007/BF02867115

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  • DOI: https://doi.org/10.1007/BF02867115

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