Classification of toric Fano 5-folds

DOI10.1515/ADVGEOM.2009.005zbMath1193.14067arXivmath/0702890OpenAlexW2073417587MaRDI QIDQ3612017

Benjamin Nill, Maximilian Kreuzer

Publication date: 3 March 2009

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702890

zbMATH Keywords

toric Fano varieties

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Fano varieties (14J45) (n)-folds ((n>4)) (14J40)

Related Items

Tilting bundles on toric Fano fourfolds, Classification of toric 2-Fano 4-folds, On Landau-Ginzburg systems, quivers and monodromy, The numerical class of a surface on a toric manifold, Toric geometry. Abstracts from the workshop held March 27 -- April 2, 2022, Frobenius splitting and derived category of toric varieties, Smooth Fano polytopes with many vertices, Heterotic models from vector bundles on toric Calabi-Yau manifolds, Smooth Fano polytopes can not be inductively constructed, Rationally elliptic toric varieties, Classification of terminal simplicial reflexive \(d\)-polytopes with \(3d-1\) vertices, \(Q\)-factorial Gorenstein toric Fano varieties with large Picard number, Webs of stars or how to triangulate free sums of point configurations, On smooth Gorenstein polytopes, A bound for the splitting of smooth Fano polytopes with many vertices, Hodge numbers for CICYs with symmetries of order divisible by 4, Enumeration of lattice polytopes by their volume, ON TORUS ACTIONS OF HIGHER COMPLEXITY, Relative Clifford inequality for varieties fibered by curves, On deformations of toric Fano varieties, Finitely many smooth \(d\)-polytopes with \(n\) lattice points

Cites Work

• Unnamed Item
• PALP: a package for analysing lattice polytopes with applications to toric geometry
• Smooth toric Fano five-folds of index two
• The classification of Fano 3-folds with torus embeddings
• On the classification of toric Fano varieties
• On the classification of smooth projective toric varieties
• Linear systems on toric varieties
• Toric complete intersections and weighted projective space.
• Mirror duality and string-theoretic Hodge numbers
• REFLEXIVE POLYHEDRA, WEIGHTS AND TORIC CALABI-YAU FIBRATIONS