Work

Minkowski valuations on lattice polytopes

Year: 2018

Type: article

Abstract: 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 discrete Steiner point.

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/833

Authors: Károly J. Böröczky, Monika Ludwig

Institutions: Hungarian Academy of Sciences, TU Wien

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2266844767

FWCI: 4.181

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Cited by: 21

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