The Combinatorics of Lattice Polytopes

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The Combinatorics of Lattice Polytopes

We first study the nearly Gorensteinness of Ehrhart rings arising from lattice polytopes. We give necessary conditions and sufficient conditions on lattice polytopes for their Ehrhart rings to be nearly Gorenstein. Using this, we give an efficient method for constructing nearly Gorenstein polytopes....

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Bibliographic Details
Main Author:	Hall, Thomas
Format:	Thesis (University of Nottingham only)
Language:	English
Published:	2024
Subjects:	polytopes combinatorics mirror symmetry gorenstein lattices convex geometry
Online Access:	https://eprints.nottingham.ac.uk/78507/

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