Norm Estimates for the ∂¯ -Equation on a Non-reduced Space
Journal article, 2023
We study norm-estimates for the (Formula presented.)-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 (Formula presented.)-equation for (0, 1)-forms can be solved with Lp -estimates.
Non-reduced analytic spaces
(Formula presented.)-Equation
L -Estimates p
Author
Mats Andersson
Chalmers, Mathematical Sciences, Algebra and geometry
University of Gothenburg
Richard Lärkäng
Chalmers, Mathematical Sciences, Algebra and geometry
University of Gothenburg
Journal of Geometric Analysis
1050-6926 (ISSN)
Vol. 33 7 237Subject Categories
Algebra and Logic
Geometry
Mathematical Analysis
DOI
10.1007/s12220-023-01290-1