Minkowski valuations on lattice polytopes
نویسندگان
چکیده
منابع مشابه
Minkowski valuations on lattice polytopes
A complete classification is established of Minkowski valuations on lattice polytopes that intertwine the special linear group over the integers and are translation invariant. In the contravariant case, the only such valuations are multiples of projection bodies. In the equivariant case, the only such valuations are generalized difference bodies combined with multiples of the newly defined disc...
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The Ehrhart polynomial and the reciprocity theorems by Ehrhart & Macdonald are extended to tensor valuations on lattice polytopes. A complete classification is established of tensor valuations of rank up to eight that are equivariant with respect to the special linear group over the integers and translation covariant. Every such valuation is a linear combination of the Ehrhart tensors which is ...
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2018
ISSN: 1435-9855
DOI: 10.4171/jems/833