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arXiv · 1306.2137

Minkowski valuations in a 2-dimensional complex vector space

Judit Abardia
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Abstract

The classification of continuous, translation invariant Minkowski valuations which are contravariant (or covariant) with respect to the complex special linear group is established in a 2-dimensional complex vector space. Every such valuation is given by the sum of a valuation of degree of homogeneity 1 and 3. In dimensions $m\geq 3$ such a classification was previously established and only valuations of a degree of homogeneity 2m-1 appear.

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Judit Abardia. 2013-06-10. Minkowski valuations in a 2-dimensional complex vector space. https://doi.org/10.1093/imrn%2Frnt251

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