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- W2950592807 abstract "For a projective algebraic variety $V$ with isolated singularities, endowed with a metric induced from an embedding, we consider the analysis of the natural partial differential operators on the regular part of $V$. We show that, in the complex case, the Laplacians of the de Rham and Dolbeault complexes are discrete operators except possibly in degrees $n,npm 1$, where $n$ is the complex dimension of $V$. We also prove a Hodge theorem on the operator level and the $L^2$--Stokes theorem outside the degrees $n-1,n$. We show that the $L^2$-Stokes theorem may fail to hold in the case of real algebraic varieties, and also discuss the $L^2$-Stokes theorem on more general non-compact spaces." @default.
- W2950592807 created "2019-06-27" @default.
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- W2950592807 date "1999-02-09" @default.
- W2950592807 modified "2023-09-23" @default.
- W2950592807 title "On the L^2-Stokes theorem and Hodge theory for singular algebraic varieties" @default.
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