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arXiv · 1404.1575

Norm minima in certain Siegel leaves

Li Cai
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Abstract

In this paper we shall illustrate that each polytopal moment-angle complex can be understood as the intersection of the minima of corresponding Siegel leaves and the unit sphere, with respect to the maximum norm. Consequently, an alternative proof of a rigidity theorem of Bosio and Meersseman is obtained; as piecewise linear manifolds, polytopal real moment-angle complexes can be smoothed in a natural way.

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Li Cai. 2015-11-01. Norm minima in certain Siegel leaves. https://doi.org/10.2140/agt.2015.15.445

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