A Batyrev type classification of \(\mathbb{Q}\)-factorial projective toric varieties

DOI10.1515/advgeom-2018-0007zbMath1474.14070arXiv1504.06515OpenAlexW3098653902MaRDI QIDQ2334546

Michele Rossi, Lea Terracini

Publication date: 7 November 2019

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06515

zbMATH Keywords

Gale dualitysecondary fansplitting fan\(\mathbb{Q}\)-factorial complete toric varietyfan and weight matricesprimitive collection and relationprojective toric bundletoric cover

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gale and other diagrams (52B35)

Related Items (4)

A numerical ampleness criterion via Gale duality ⋮ \(\mathbb{Z}\)-linear Gale duality and poly weighted spaces (PWS) ⋮ Embedding non-projective Mori dream space ⋮ Fibration and classification of smooth projective toric varieties of low Picard number

Cites Work

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• A \(\mathbb{Q}\)-factorial complete toric variety with Picard number 2 is projective
• On the birational geometry of Fano 4-folds
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• \(\mathbb{Z}\)-linear Gale duality and poly weighted spaces (PWS)
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