Norm Estimates for the (partial derivative)over-bar-Equation on a Non-reduced Space

We study norm-estimates for the (partial derivative) over bar -equation on non-reduced analytic spaces. Our main result is that on a non-reduced analytic space, which is Cohen-Macaulay and whose underlying reduced space is smooth, the (partial derivative) over bar -equation for (0, 1)-forms can be s...

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Bibliographic Details
Published in:The Journal of geometric analysis 2023-07, Vol.33 (7)
Main Authors: Andersson, Mats, Lärkäng, Richard
Format: Article
Language:English
Subjects:
(partial derivative)over-bar-Equation
analytic spaces
cohomology
decomposition
formula
integral-representation
L-p-Estimates
Matematik
Mathematics
Non-reduced
residue currents
varieties
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Summary:We study norm-estimates for the (partial derivative) over bar -equation on non-reduced analytic spaces. Our main result is that on a non-reduced analytic space, which is Cohen-Macaulay and whose underlying reduced space is smooth, the (partial derivative) over bar -equation for (0, 1)-forms can be solved with L-p-estimates.
ISSN:1050-6926
DOI:10.1007/s12220-023-01290-1