A geometric approach to Catlin's boundary systems
From MaRDI portal
Publication:2333214
DOI10.5802/aif.3304zbMath1436.32101arXiv1704.01808OpenAlexW2982456043WikidataQ126856825 ScholiaQ126856825MaRDI QIDQ2333214
Publication date: 12 November 2019
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.01808
pseudoconvexityreal hypersurfacesLevi formideal sheavesinvariant tensorssubelliptic estimatesCatlin multitypeboundary systems
Normal forms on manifolds (58K50) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Finite-type domains (32T25) CR manifolds as boundaries of domains (32V15) CR structures, CR operators, and generalizations (32V05) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27) Finite-type conditions on CR manifolds (32V35)
Related Items
Boundary invariants and the closed range property for \(\overline{\partial}\) ⋮ Regularity of mappings into classical domains ⋮ A remark on finite type conditions ⋮ Regular multi-types and the Bloom conjecture ⋮ Newton polyhedra and order of contact on real hypersurfaces ⋮ Triangular resolutions and effectiveness for holomorphic subelliptic multipliers ⋮ Infinitesimal symmetries of weakly pseudoconvex manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Necessary geometric and analytic conditions for general estimates in the \(\overline{\partial}\)-Neumann problem
- Hölder regularity of the solution to the complex Monge-Ampère equation with \(L^p\) density
- Effective termination of Kohn's algorithm for subelliptic multipliers
- The \(\overline\partial\)-cohomology groups, holomorphic Morse inequalities, and finite type conditions
- Comparison of the Bergman and Szegö kernels
- Global regularity for the \(\bar{\delta}\)-Neumann operator and bounded plurisubharmonic exhaustion functions
- A sufficient condition for subellipticity of the \(\bar {\partial}\)-Neumann operator
- Compact and subelliptic estimates for the \(\overline\partial\)-Neumann operator on \(C^2\) pseudoconvex domains
- Estimates for the Bergman and Szegő projections for pseudoconvex domains of finite type with locally diagonalizable Levi form
- On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces
- Plurisubharmonic polynomials and bumping
- Compactness of the complex Green operator on CR-manifolds of hypersurface type
- Property \((P)\) and Stein neighborhood bases on \(C^1\) domains
- Boundary invariants of pseudoconvex domains
- Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
- Estimates of invariant metrics on pseudoconvex domains of dimension two
- Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
- Subelliptic estimates and failure of semi continuity for orders of contact
- Real hypersurfaces, orders of contact, and applications
- Lower bounds on the Bergman metric near a point of finite type
- Local biholomorphic straightening of real submanifolds
- Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
- Compactness of the Neumann operator for hyperconvex domains with non-smooth \(B\)-regular boundary
- Plurisubharmonic functions and subellipticity of the \(\bar\partial\)-Neumann problem on non-smooth domains
- Estimates of invariant metrics on pseudoconvex domains with comparable Levi form.
- Invariant metric estimates for \(\overline\partial\) on some pseudoconvex domains
- Closed range of \(\overline{\partial}\) in \(L^{2}\)-Sobolev spaces on unbounded domains in \(\mathbb{C}^n\)
- New invariant tensors in CR structures and a normal form for real hypersurfaces at a generic Levi degeneracy
- A lower bound on the Kobayashi metric near a point of finite type in \(\mathbb{C} ^ n\)
- Construction of p.s.h. functions on weakly pseudoconvex domains
- A sufficient condition for compactness of the \(\overline{\partial}\)-Neumann operator
- Boundary limits of the Bergman kernel and metric
- Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
- Boundary regularity of the solution to the complex Monge-Ampère equation on pseudoconvex domains of infinite type
- New procedure to generate multipliers in complex Neumann problem and effective Kohn algorithm
- Multiplier ideal sheaves in complex and algebraic geometry
- Geometry of pseudo-convex domains of finite type with locally diagonalizable Levi form and Bergman kernel
- Compactness of the complex Green operator
- Harmonic integrals on strongly pseudo-convex manifolds. I
- Harmonic integrals on strongly pseudo-convex manifolds. II
- Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
- Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect
- The complex Green operator on CR-submanifolds of $\mathbb{C}^{n}$ of hypersurface type: Compactness
- Compactness estimates for $\Box_{b}$ on a CR manifold
- Coherence and other properties of sheaves in the Kohn algorithm
- Lp estimates for the $\bar\partial$-equation on a class of infinite type domains
- The Catlin Multitype and Biholomorphic Equivalence of Models
- Strong Stein neighbourhood bases
- Subelliptic Estimates
- The Szego Projection: Sobolev Estimates in Regular Domains
- Ideals of Holomorphic Functions with C ∞ Boundary Values on a Pseudoconvex Domain
- A Construction of Peak Functions on Some Finite Type Domains
- Boundary Behavior of the Bergman Kernel Function on some Pseudoconvex Domains in ℂ n
- Several Complex Variables and the Geometry of Real Hypersurfaces
- Extremal bases, geometrically separated domains and applications
- $$L^2$$ L 2 estimates for the $$\bar{\partial }$$ ∂ ¯ operator
- L2-Sobolev theory for the complex Green operator
- On compactness of the \overline{∂}-Neumann problem and Hankel operators
- On the Bergman metric on bounded pseudoconvex domains an approach without the Neumann operator
This page was built for publication: A geometric approach to Catlin's boundary systems
