Koppelman formulas on the \(A_{1}\)-singularity

DOI10.1016/j.jmaa.2015.12.028zbMath1336.32033arXiv1407.5703OpenAlexW1812493776MaRDI QIDQ5962555

Jean Ruppenthal, Richard Lärkäng

Publication date: 12 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5703

zbMATH Keywords

singular varieties\(\overline\partial\) equationsKoppelman formulas

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items

Estimates for the \({\bar{\partial }} \)-equation on canonical surfaces ⋮ Koppelman formulas on affine cones over smooth projective complete intersections ⋮ Global Koppelman formulas on (singular) projective varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^2\)-theory for the \(\overline{\partial}\)-operator on compact complex spaces
• The \({\overline{\partial}}\)-equation on homogeneous varieties with an isolated singularity
• An explicit \(\overline {\partial}\)-integration formula for weighted homogeneous varieties
• A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
• The Cauchy Riemann equation on singular spaces.
• \(L ^{2}\)-\(\overline{\partial}\)-cohomology groups of some singular complex spaces
• $$L^2$$ -Serre Duality on Singular Complex Spaces and Applications
• $L^2 - \overline \partial$-Cohomology of Complex Projective Varieties
• LOCAL L² RESULTS FOR $\bar\partial$: THE ISOLATED SINGULARITIES CASE
• Koppelman formulas on affine cones over smooth projective complete intersections

This page was built for publication: Koppelman formulas on the \(A_{1}\)-singularity