Fibration and classification of smooth projective toric varieties of low Picard number

DOI10.1142/S0129167X20500433zbMath1461.14069arXiv1507.00493MaRDI QIDQ5853646

Lea Terracini, Michele Rossi

Publication date: 11 March 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00493

zbMATH Keywords

Picard numberfibrationnef conemoving coneweight matrixbig divisorsprimitive collectionpseudo-effective conenef divisorsfan matrixgale dualitysecondary fanprimitive relation\( \mathbb{Q}\)-factorial complete toric varietiespoly weighted spacestoric projective bundle

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A \(\mathbb {Q}\)-factorial complete toric variety is a quotient of a poly weighted space
• Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
• Primitive collections and toric varieties
• Smooth projective toric varieties whose nontrivial nef line bundles are big
• A classification of toric varieties with few generators
• Smooth toric varieties with small Picard number are projective
• On the classification of smooth projective toric varieties
• Contractible classes in toric varieties
• A numerical ampleness criterion via Gale duality
• On the birational geometry of Fano 4-folds
• A Batyrev type classification of \(\mathbb{Q}\)-factorial projective toric varieties
• Mori dream spaces and GIT.
• \(\mathbb{Z}\)-linear Gale duality and poly weighted spaces (PWS)

This page was built for publication: Fibration and classification of smooth projective toric varieties of low Picard number