The \(\bar{\partial }\)-equation on a non-reduced analytic space
From MaRDI portal
Publication:2423424
DOI10.1007/s00208-018-1678-8zbMath1432.32006arXiv1703.01861OpenAlexW3125013321MaRDI QIDQ2423424
Mats Andersson, Richard Lärkäng
Publication date: 21 June 2019
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.01861
Dolbeault complexfine resolutionnon-reduced analytic spaceKoppelman formulapseudomeromorphic currentsstandard extension property
Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Analytic subsets of affine space (32B15) Integration on analytic sets and spaces, currents (32C30) Residues for several complex variables (32A27)
Related Items
A pointwise norm on a non-reduced analytic space ⋮ On the $(n+3)$-webs by rational curves induced by the forgetful maps on the moduli spaces $\mathcal M_{0,n+3}$ ⋮ Norm estimates for the \(\bar{\partial}\)-equation on a non-reduced space ⋮ Integral representation of moderate cohomology ⋮ Global Koppelman formulas on (singular) projective varieties
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Explicit Hodge-type decomposition on projective complete intersections
- Residual \({\bar\partial}\)-cohomology and the complex Radon transform on subvarieties of \(\mathbb C P^n\)
- \(L^2\)-theory for the \(\overline{\partial}\)-operator on compact complex spaces
- Abelian differentials on singular varieties and variations on a theorem of Lie-Griffiths
- A Briançon-Skoda-type result for a non-reduced analytic space
- A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
- Estimates for the \({\bar{\partial }} \)-equation on canonical surfaces
- Regularity of pseudomeromorphic currents
- Global effective versions of the Briançon-Skoda-Huneke theorem
- \(L ^{2}\)-\(\overline{\partial}\)-cohomology groups of some singular complex spaces
- A residue criterion for strong holomorphicity
- Explicit versions of the local duality theorem in \(\mathbb{C}^n\)
- Introduction to the theory of analytic spaces
- Residues and principal values on complex spaces
- Uniqueness and factorization of Coleff-Herrera currents
- Pure Hodge structure on the L2 -cohomology of varieties with isolated singularities
- Pseudomeromorphic currents on subvarieties
- Coleff-Herrera currents, duality, and noetherian operators
- Decomposition of residue currents
- Residue currents with prescribed annihilator ideals
- Sur les fonctions différentiables et les ensembles analytiques
- $L^2 - \overline \partial$-Cohomology of Complex Projective Varieties
- Direct images of semi-meromorphic currents
- Semiglobal results for $\overline \partial $ on a complex space with arbitrary singularities
- Koppelman formulas on affine cones over smooth projective complete intersections
- A comparison formula for residue currents
