TY  - BOOK
AU  - Ring, Maren Helene
PY  - 2019
DA  - 2019//
TI  - Local formulas for Ehrhart coefficients from lattice tiles
PB  - Universität Rostock
CY  - Rostock
AB  - The coefficients of the Ehrhart polynomial of a lattice polytope can be written as a weighted sum of facial volumes. The weights in such a 'local formula' depend only on the outer normal cones of faces, but are far from being unique. In this thesis, we present local formulas μ based on choices of fundamental domains that, which allows a geometric interpretation of the values. Additionally, we generalize the results to Ehrhart quasipolynomials, prove new results about the symmetric behavior and introduce a variation well-suited for implementations.<eng>
UR  - http://purl.uni-rostock.de/rosdok/id00002595
UR  - https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00002595-5
UR  - https://d-nb.info/1293658626/34
UR  - https://doi.org/10.18453/rosdok_id00002595
DO  - 10.18453/rosdok_id00002595
LA  - English
N1  - vorgelegt von Maren Helene Ring
ID  - 1687160082
ER  -