Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · math/0302057

Contact boundaries of hypersurface singularities and of complex polynomials

C. Caubel·M. Tibar
View original source ↗Read source document ↗Export metadata ↓

Abstract

We survey some recent results concerning the behaviour of the contact structure defined on the boundary of a complex isolated hypersurface singularity or on the boundary at infinity of a complex polynomial.

Explore related subjects

math.CV

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

C. Caubel, M. Tibar. 2003-02-05. Contact boundaries of hypersurface singularities and of complex polynomials. https://doi.org/10.4064/bc62-0-2

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Different approach to certain problems in univalent function theory

Using different approach we consider some problems for the class $\mathcal{S}_{ex}^{\star}$ defined by the condition $\frac{zf'(z)}{f(z)}\prec e^{αz}$, $0<α\leq1.$ Our method is more simple than that used by Das and Sarkar in their work: \textit{Sharp coefficient estimates for the exponential starlike class $S^\star_{ex}$} (\cite{DS26}).

math.CV↗
arXiv2026

Local convexity obstructions for bounded realizations of Teichmüller space

Let $D\subset\mathbb{C}^n$, $n\ge2$, be a bounded domain that is biholomorphic to a finite-dimensional Teichmüller space. We prove that $\partial D$ has no locally convex boundary patch containing a complex $(n-1)$-dimensional manifold through each of its points. Note that in complex dimension two this excludes every locally convex boundary point, without any boundary regularity assumption. In every dimension, we also exclude locally convex $C^2$ boundary patches.

math.CV↗