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arXiv · 0807.0776

The modified complex Busemann-Petty problem on sections of convex bodies

Marisa Zymonopoulou
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Abstract

Since the answer to the complex Busemann-Petty problem is negative in most dimensions, it is natural to ask what conditions on the (n-1)-dimensional volumes of the central sections of complex convex bodies with complex hyperplanes allow to compare the n-dimensional volumes. In this article we give necessary conditions on the section function in order to obtain an affirmative answer in all dimensions.

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Marisa Zymonopoulou. 2008-07-04. The modified complex Busemann-Petty problem on sections of convex bodies. https://arxiv.org/abs/0807.0776

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