Residual \({\bar\partial}\)-cohomology and the complex Radon transform on subvarieties of \(\mathbb C P^n\)
From MaRDI portal
Publication:453416
DOI10.1007/s00208-011-0737-1zbMath1252.32003arXiv1012.4438OpenAlexW1482179736MaRDI QIDQ453416
Gennadi M. Henkin, Peter L. Polyakov
Publication date: 27 September 2012
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.4438
Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Integration on analytic sets and spaces, currents (32C30)
Related Items
A pointwise norm on a non-reduced analytic space ⋮ Explicit Hodge decomposition on Riemann surfaces ⋮ A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas ⋮ Norm estimates for the \(\bar{\partial}\)-equation on a non-reduced space ⋮ The \(\bar{\partial }\)-equation on a non-reduced analytic space ⋮ Gennadi Markovich Henkin (obituary) ⋮ Inversion formulas for complex Radon transform on projective varieties and boundary value problems for systems of linear PDEs ⋮ Global Koppelman formulas on (singular) projective varieties ⋮ Explicit Hodge-type decomposition on projective complete intersections
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Un théorème de dualité
- Strong linear convexity. I: Duality of spaces of holomorphic functions
- Intégration des classes de \(d'd\)-cohomologie sur les cycles analytiques. Solution du problème de l'injectivité. (Integration of \(d'd\)-cohomology classes on analytic cycles. Solution of the problem of injectivity)
- Integral formulas on projective space and the Radon transform of Gindikin-Henkin-Polyakov
- Integral geometry for \(\overline\partial\)-cohomology in \(q\)-linear concave domains in \(\mathbb CP^n\)
- A geometric criterion for strong linear convexity
- Variations on a theorem of Abel
- Les courants residuels associes à une forme méromorphe
- Integral formulas and an explicit version of the fundamental principle
- Leray's quantization of projective duality
- Analytic functionals annihilated by ideals
- Complexe dualisant et théorèmes de dualité en géométrie analytique complexe
- Dualité relative en géométrie analytique complexe
- Residues and principal values on complex spaces
- On the Abel-Radon transform of locally residual currents in great codimension
- HOMOTOPY FORMULAS FOR THE $ \bar\partial$-OPERATOR ONCPnAND THE RADON-PENROSE TRANSFORM
- Integral Representation Formulae and Grothendieck Residue Symbol
- Residue Integrals and their Mellin Transforms
- Équations différentielles d'ordre infini
- Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
- Zur Theorie der analytischen Mannigfaltigkeiten im Raume von \(n\) komplexen Veränderlichen
