REAL

Valuations on lattice polytopes

Böröczky, Károly (Ifj.) and Ludwig, Monika (2017) Valuations on lattice polytopes. In: Tensor Valuations and Their Applications in Stochastic Geometry and Imaging. Lecture Notes in Mathematics (2177). Springer, Cham, pp. 213-234. ISBN 978-3-319-51950-0

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Abstract

This survey is on classification results for valuations defined on lattice polytopes that intertwine the special linear group over the integers. The basic real valued valuations, the coefficients of the Ehrhart polynomial, are introduced and their characterization by Betke and Kneser is discussed. More recent results include classification theorems for vector and convex body valued valuations. © Springer International Publishing AG 2017.

Item Type: Book Section
Additional Information: N1 Funding details: 109789, OTKA, Országos Tudományos Kutatási Alapprogramok N1 Funding details: 116451, OTKA, Országos Tudományos Kutatási Alapprogramok N1 Funding details: P25515-N25, FWF, Austrian Science Fund N1 Funding text: The authors thank Raman Sanyal for pointing out Corollary 8.4 and its proof to them. They also thank Martin Henk for helpful remarks. The work of Károly J. Böröczky was supported, in part, by the Hungarian Scientific Research Fund No 109789 and No 116451, and the work of Monika Ludwig was supported, in part, by Austrian Science Fund (FWF) Project P25515-N25.
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 08 Aug 2017 09:31
Last Modified: 08 Aug 2017 09:31
URI: http://real.mtak.hu/id/eprint/58174

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