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- W4300994167 abstract "In the present paper, we devise a version of topological $L^2$-Serre duality for singular complex spaces with arbitrary singularities. This duality is used to deduce various new $L^2$-vanishing theorems for the $bar{partial}$-equation on singular spaces. It is shown that complex spaces with rational singularities behave quite tame with respect to the $bar{partial}$-equation in the $L^2$-sense. More precisely: a singular point is rational if and only if the $L^2$-$bar{partial}$-complex is exact in this point. So, we obtain an $L^2$-$bar{partial}$-resolution of the structure sheaf in rational singular points." @default.
- W4300994167 created "2022-10-04" @default.
- W4300994167 creator A5059407425 @default.
- W4300994167 date "2014-01-18" @default.
- W4300994167 modified "2023-09-26" @default.
- W4300994167 title "$L^2$-Serre duality on singular complex spaces and rational singularities" @default.
- W4300994167 doi "https://doi.org/10.48550/arxiv.1401.4563" @default.
- W4300994167 hasPublicationYear "2014" @default.
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