Linear systems on toric varieties

DOI10.2748/tmj/1178225343zbMath0874.14047OpenAlexW2032792422MaRDI QIDQ1362551

Robert Laterveer

Publication date: 10 November 1997

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225343

zbMATH Keywords

amplenessGorenstein toric varietieslength of extremal raystoric Mori theory

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Divisors, linear systems, invertible sheaves (14C20)

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Largest integral simplices with one interior integral point: solution of Hensley's conjecture and related results, Notes on toric varieties from Mori theoretic viewpoint, \(\mathbb{P}^1 \)-bundle bases and the prevalence of non-higgsable structure in 4D F-theory models, Fujita's very ampleness conjecture for singular toric varieties, Generation of jets and Fujita's jet ampleness conjecture on toric varieties, NOTES ON TORIC VARIETIES FROM MORI THEORETIC VIEWPOINT, II, Combinatorial method in adjoint linear systems on toric varieties, Introduction to the toric Mori theory, Classification of toric Fano 5-folds, Canonical syzygies of smooth curves on toric surfaces, Finitely many smooth \(d\)-polytopes with \(n\) lattice points

Cites Work

• On the ampleness of invertible sheaves in complete projective toric varieties
• Intersection theory on toric varieties
• Introduction to Toric Varieties. (AM-131)
• THE GEOMETRY OF TORIC VARIETIES
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