• The Laplacian on algebraic threefolds with isolated singularities

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/104/03/0435-0481

    • Keywords

       

      Laplacian; singularities; three folds; Fubini-study metric; self-adjointness

    • 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.

    • Author Affiliations

       

      Vishwambhar Pati1

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

       
  • Proceedings – Mathematical Sciences | News

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