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Terminal toric Fano \(3\)-folds with numerical conditions

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Publication:832825
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DOI10.1215/21562261-2022-0003zbMath1483.14089OpenAlexW4210748358MaRDI QIDQ832825

Ryota Sumiyoshi, Hiroshi Sato

Publication date: 25 March 2022

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

Full work available at URL: https://doi.org/10.1215/21562261-2022-0003


Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)


Related Items

Examples of singular toric varieties with certain numerical conditions


Uses Software

  • polymake


Cites Work

  • Unnamed Item
  • Unnamed Item
  • The numerical class of a surface on a toric manifold
  • Toric 2-Fano manifolds and extremal contractions
  • Classification of toric 2-Fano 4-folds
  • Computing convex hulls and counting integer points with \texttt{polymake}
  • Toric Fano three-folds with terminal singularities
  • Higher Fano manifolds and rational surfaces
  • Polarized minimal families of rational curves and higher Fano manifolds
  • Introduction to Toric Varieties. (AM-131)
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