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arXiv:2209.05906 [math.CV]AbstractReferencesReviewsResources

Norm estimates for the $\bar\partial$-equation on a non-reduced space

Mats Andersson, Richard Lärkäng

Published 2022-09-13Version 1

We study norm-estimates for the $\bar\partial$-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 $\bar\partial$-equation for $(0,1)$-forms can be solved with $L^p$-estimates.

Comments: 28 pages
Categories: math.CV
Subjects: 32A26, 32A27, 32B15, 32W05
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