Explicit Hodge-type decomposition on projective complete intersections
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Publication:254308
DOI10.1007/s12220-015-9643-1zbMath1338.14011arXiv1405.7411OpenAlexW1944473774MaRDI QIDQ254308
Peter L. Polyakov, Gennadi M. Henkin
Publication date: 8 March 2016
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.7411
Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Integration on analytic sets and spaces, currents (32C30)
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Cites Work
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- Unnamed Item
- Residual \({\bar\partial}\)-cohomology and the complex Radon transform on subvarieties of \(\mathbb C P^n\)
- Inversion formulas for complex Radon transform on projective varieties and boundary value problems for systems of linear PDEs
- Weighted Koppelman formulas and the \(\bar\partial\)-equation on an analytic space
- On the reconstruction of conductivity of a bordered two-dimensional surface in \(\mathbb R^3\) from electrical current measurements on its boundary
- Weighted integral formulas on manifolds
- Integral formulas on projective space and the Radon transform of Gindikin-Henkin-Polyakov
- Les courants residuels associes à une forme méromorphe
- L'intégrale de Cauchy et les fonctions de plusieurs variables
- Koppelman formulas on flag manifolds and harmonic forms
- A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
- Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Beschränkte Lösungen
- Complexe dualisant et théorèmes de dualité en géométrie analytique complexe
- Meromorphic property of the functions \(P^ \lambda\)
- Residues and principal values on complex spaces
- Théorie de Hodge. III
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Sopra una dimostrazione di R. Fueter per un teorema di Hartogs
- Harmonic fields in Riemannian manifolds (Generalized potential theory)
- Über die wesentlichen Singularitäten analytischer Mengen
- Analytic and meromorphic continuation by means of Green's formula
- Über einen Hartogsschen Satz in der Theorie der analytischen Funktionen von \(n\) komplexen Variablen
- On Hodge's theory of harmonic integrals
- Koppelman formulas on Grassmannians
- Residues, currents, and their relation to ideals of holomorphic functions.
- A calculus for meromorphic currents.
- Analytic Continuation of Currents and Division Problems
- THE LEWY EQUATION AND ANALYSIS ON PSEUDOCONVEX MANIFOLDS
- The Cauchy integral for differential forms
- Resolution of Singularities and Division of Distributions
- Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
- Integral Representation Formulas and $L^p$-Estimates for the $\bar{\partial}$-Equation.
- THE CAUCHY-WEIL FORMULA FOR DIFFERENTIAL FORMS
