A connection between the Mahler conjecture and floating bodies

Agam Guberman

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arXiv · 2608.10994

A connection between the Mahler conjecture and floating bodies

Agam Guberman

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Abstract

In this paper, we will prove a result about the structure of polytopes whose floating bodies are not smooth. This will then be used to prove a result about the combinatorial structure of minimizers of the volume product.

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Agam Guberman. 2026-08-11. A connection between the Mahler conjecture and floating bodies. https://arxiv.org/abs/2608.10994

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