Explicit Hodge decomposition on Riemann surfaces
From MaRDI portal
Publication:1650202
DOI10.1007/s00209-017-1972-2zbMath1394.30025arXiv1507.03272OpenAlexW2963189713MaRDI QIDQ1650202
Peter L. Polyakov, Gennadi M. Henkin
Publication date: 2 July 2018
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.03272
Compact Riemann surfaces and uniformization (30F10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Riemann surfaces; Weierstrass points; gap sequences (14H55) Integration on analytic sets and spaces, currents (32C30)
Related Items
Cites Work
- Unnamed Item
- 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 \(\mathbb C P^n\)
- On the reconstruction of conductivity of a bordered two-dimensional surface in \(\mathbb R^3\) from electrical current measurements on its boundary
- 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
- A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
- The Cauchy Riemann equation on singular spaces.
- Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Beschränkte Lösungen
- Complexe dualisant et théorèmes de dualité en géométrie analytique complexe
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Residues and principal values on complex spaces
- Harmonic fields in Riemannian manifolds (Generalized potential theory)
- On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)
- On Hodge's theory of harmonic integrals
- Residues, currents, and their relation to ideals of holomorphic functions.
- Integral Representation Formulae and Grothendieck Residue Symbol
- The Cauchy integral for differential forms
- 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