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$L^2$ -Serre Duality on Singular Complex Spaces and Rational Singularities

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Publication:5233813
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DOI10.1093/imrn/rnx097zbMath1432.32019arXiv1401.4563OpenAlexW2963716083MaRDI QIDQ5233813

Jean Ruppenthal

Publication date: 9 September 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4563

zbMATH Keywords

Serre dualitysingular complex space$\overline\partial$$L^2$ theory


Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Analytic sheaves and cohomology groups (32C35) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Duality theorems for analytic spaces (32C37)


Related Items

$$L^2$$ -Serre Duality on Singular Complex Spaces and Applications, Estimates for the \({\bar{\partial }} \)-equation on canonical surfaces, A Dolbeault-Hilbert complex for a variety with isolated singular points



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