%0 Journal Article
%T The modified complex Busemann-Petty problem on sections of convex bodies
%A Marisa Zymonopoulou
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0807.0776v1