Strongly linearly convex exhaustion of $\mathbb C$-convex domains with $\C^{1,\alpha}$ boundary

Armen Edigarian

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arXiv · 2607.26696

Strongly linearly convex exhaustion of $\mathbb C$-convex domains with $\C^{1,\alpha}$ boundary

Armen Edigarian

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Abstract

We prove that any $\mathbb C$-convex domains with $\C^{1,\alpha}$ boundary admits an increasing exhaustion by bounded $C^\infty$ strongly linearly convex domains.

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Armen Edigarian. 2026-07-29. Strongly linearly convex exhaustion of $\mathbb C$-convex domains with $\C^{1,\alpha}$ boundary. https://arxiv.org/abs/2607.26696

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