Toric weak Fano varieties associated to building sets

zbMath1436.14089arXiv1705.07304MaRDI QIDQ1626400

Yusuke Suyama

Publication date: 27 November 2018

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

Full work available at URL: https://arxiv.org/abs/1705.07304

zbMATH Keywords

simple graphnonsingulartoricbuilding setweak Fano

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) Fano varieties (14J45) Directed graphs (digraphs), tournaments (05C20) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Cites Work

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• Smooth Fano polytopes arising from finite directed graphs
• Nested complexes and their polyhedral realizations
• Toward the classification of higher-dimensional toric Fano varieties
• The classification of smooth toric weakened Fano 3-folds