The complete classification of empty lattice 4-simplices

DOI10.1016/j.endm.2018.06.027zbMath1408.52022arXiv1908.08933OpenAlexW2883073730WikidataQ129559735 ScholiaQ129559735MaRDI QIDQ5916272

Óscar Iglesias Valiño, Francisco Santos

Publication date: 11 October 2018

Published in: Electronic Notes in Discrete Mathematics, Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08933

zbMATH Keywords

finitenesslattice pointslattice polytopesunimodular equivalenceclassification of empty polytopesempty simplices

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Minimal model program (Mori theory, extremal rays) (14E30)

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Enumeration of algebraic and tropical singular hypersurfaces, Normal polytopes: between discrete, continuous, and random, Enumeration and unimodular equivalence of empty delta-modular simplices, Sarkisov links from toric weighted blowups of \(\mathbb{P}^4\) at a point, Blowups with log canonical singularities, The finiteness threshold width of lattice polytopes, A generalization of a theorem of White

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