\(\mathbb{Z}\)-linear Gale duality and poly weighted spaces (PWS)

DOI10.1016/j.laa.2016.01.039zbMath1332.14065arXiv1501.05244OpenAlexW1767962998MaRDI QIDQ5962848

Michele Rossi, Lea Terracini

Publication date: 24 February 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05244

zbMATH Keywords

Hermite normal formSmith normal form\(\mathbb{Q}\)-factorial complete toric varietiesGale dualityweighted projective spaces

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Lattices and duality (06D50)

Related Items (9)

Erratum to: ``A \(\mathbb{Q}\)-factorial complete toric variety is a quotient of a poly weighted space ⋮ A numerical ampleness criterion via Gale duality ⋮ A \(\mathbb {Q}\)-factorial complete toric variety is a quotient of a poly weighted space ⋮ A \(\mathbb{Q}\)-factorial complete toric variety with Picard number 2 is projective ⋮ Embedding the Picard group inside the class group: the case of \(\mathbb{Q}\)-factorial complete toric varieties ⋮ Toric varieties and Gröbner bases: the complete \(\mathbb{Q}\)-factorial case ⋮ Embedding non-projective Mori dream space ⋮ A Batyrev type classification of \(\mathbb{Q}\)-factorial projective toric varieties ⋮ Fibration and classification of smooth projective toric varieties of low Picard number

Cites Work

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• On the classification of smooth projective toric varieties
• On the Hodge structure of projective hypersurfaces in toric varieties
• The projective geometry of the Gale transform.
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• A Batyrev type classification of \(\mathbb{Q}\)-factorial projective toric varieties
• Discriminants, resultants, and multidimensional determinants
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• REFLEXIVE POLYHEDRA, WEIGHTS AND TORIC CALABI-YAU FIBRATIONS
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