Cover Image

Is there a smooth lattice polytope which does not have the integer decomposition property?

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hofscheier, Johannes, Kasprzyk, Alexander
Format:	Preprint
Published:	2025
Subjects:	Combinatorics Algebraic Geometry History and Overview 52B20 (primary), 14M25, 13H10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Integer decomposition property of polytopes
by: Robins, Sharon
Published: (2021)

Castelnuovo polytopes
by: Tsuchiya, Akiyoshi
Published: (2020)

Root polytopes, flow polytopes, and order polytopes
by: Rietsch, Konstanze, et al.
Published: (2024)

Lattice 3-polytopes of lattice width 2 and corresponding toric hypersurfaces
by: Bohnert, Martin
Published: (2024)

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach
by: Cruickshank, James, et al.
Published: (2025)

Blurred combinatorics in resolution of singularities: (a little) beyond the characteristic polytope
by: Cobo, Helena, et al.
Published: (2024)

Multigraded algebras and multigraded linear series
by: Cid-Ruiz, Yairon, et al.
Published: (2021)

The Evolution of Enumerative Geometry: A Narrative from Classical Problems to Enriched Invariants
by: Bethea, Candace, et al.
Published: (2025)

Basecondary polytopes
by: Esterov, Alexander, et al.
Published: (2024)

The Fine interior of dilations of a rational polytope
by: Bohnert, Martin
Published: (2024)

Semi-interlaced polytopes
by: Selyanin, Fedor
Published: (2026)

Wronski Pairs of Honeycomb Curves
by: Casabella, Laura, et al.
Published: (2024)

Moduli Theory of the $r$-Braid Arrangement
by: Blankers, Vance, et al.
Published: (2025)

Toric surface codes and the periodicity of polytopes
by: Gibbs, Amelia, et al.
Published: (2025)

Strata of toric hyperplane arrangements, zonotope lattice points, and the Bondal-Thomsen collection
by: Bauermeister, Friedrich, et al.
Published: (2025)

Tiling an Equilateral Triangle
by: Beeson, Michael
Published: (2018)

The volume polynomial of lattice polygons
by: Soprunov, Ivan, et al.
Published: (2024)

Lotuses as computational architectures
by: Barroso, Evelia R. García, et al.
Published: (2025)

The trigonal construction and the second moment of the tropical Prym variety
by: Zakharov, Dmitry
Published: (2025)

A lifting partition theorem for tropical tritangent classes to smooth space sextic curves
by: Cueto, Maria Angelica, et al.
Published: (2026)

Richardson varieties, projected Richardson varieties and positroid varieties
by: Speyer, David E
Published: (2023)

Hierarchical filtrations of vector bundles and birational geometry
by: Rahmati-asghar, Rahim
Published: (2025)

On a two-parameter family of tropical Edwards curves
by: Nakamura, Hiroaki, et al.
Published: (2023)

Initial degenerations of flag varieties
by: Corey, Daniel, et al.
Published: (2022)

The $d$-gonal locus in the moduli space of tropical plane curves
by: Leitz, Desmond, et al.
Published: (2025)

The moduli space of tropical curves with fixed Newton polygon
by: Coles, Desmond, et al.
Published: (2020)

121 Patchworked Curves of Degree Seven
by: Geiselmann, Zoe, et al.
Published: (2026)

Algebraic and analytic structure of Morikawa's sangaku problem
by: Krumm, David
Published: (2026)

Reflexive polytopes and the Picard ranks of Gorenstein toric Fano varieties
by: He, Zhuang
Published: (2025)

Newton numbers, vanishing polytopes and algebraic degrees
by: Selyanin, Fedor
Published: (2025)

A canonicity criterion for toric varieties and the classification of canonical 4-simplices
by: Ghirlanda, Marco
Published: (2026)

On the discrete Heine-Shephard problem for four lattice polygons
by: Gerrity, Darren, et al.
Published: (2026)

Hexagonal Tiling of the Plane
by: Zhu, Ze, et al.
Published: (2025)

On a decomposition of $p$-adic Coxeter orbits
by: Ivanov, Alexander B.
Published: (2021)

Counting Homogeneous Einstein Metrics
by: Bettiol, Renato G., et al.
Published: (2025)

Newton-Okounkov polytopes of Schubert varieties arising from cluster structures
by: Fujita, Naoki, et al.
Published: (2020)

Classifying the Fine Polyhedral Spectrum
by: Mora, Sofía Garzón, et al.
Published: (2026)

Combinatorial Differential Algebra of $x^p$
by: Manssour, Rida Ait El, et al.
Published: (2021)

Piecewise-exponential functions and Ehrhart fans
by: Chan, Melody, et al.
Published: (2025)

Polyptych lattices and marked chain-order polytopes
by: Fujita, Naoki, et al.
Published: (2026)