On the Catlin multitype of sums of squares domains

DOI10.1007/s12220-022-00894-3zbMath1487.32058arXiv2106.10691OpenAlexW4214754352MaRDI QIDQ2117506

Nicholas Aidoo

Publication date: 21 March 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10691

zbMATH Keywords

Catlin multitypefinite-type domains in \(\mathbb{C}^n\)Kolář algorithmsum of squares domains

Mathematics Subject Classification ID

Finite-type domains (32T25) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27) Finite-type conditions for the boundary of a domain (32F18)

Cites Work

• Precise subelliptic estimates for a class of special domains
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• Boundary invariants of pseudoconvex domains
• Real hypersurfaces, orders of contact, and applications
• On``type conditions for generic real submanifolds of \(\mathbb{C}^n\)
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Jet vanishing orders and effectivity of Kohn's algorithm in dimension 3
• Triangular resolutions and effectiveness for holomorphic subelliptic multipliers
• New procedure to generate multipliers in complex Neumann problem and effective Kohn algorithm
• Minimizing polynomials via sum of squares over the gradient ideal
• Chern-Moser operators and polynomial models in CR geometry
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• The Catlin Multitype and Biholomorphic Equivalence of Models
• Subelliptic Estimates
• Several Complex Variables and the Geometry of Real Hypersurfaces

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