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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.16338 |
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Table of Contents:
- We construct a connected, compact set $K \subset \mathbb{C}^2$ with the following property: there exist points $p \in \hat{K} \setminus K$ such that there does not exist a sequence $\{A_ν\}$ of analytic sets $A_ν\subset\subset \mathbb{C}^2$ with boundary satisfying $p \in A_ν$ for every $ν\in \mathbb{N}$ and $\lim_{ν\to\infty} bA_ν\subset K$. For every point in $\hat{K} \setminus K$, we explicitly construct a sequence of Poletsky discs, and we compute the weak limit of the pushforwards of the Green current under these discs.