Linear Toric Fibrations

DOI10.1007/978-3-319-04870-3_4zbMath1326.14002arXiv1311.1625OpenAlexW1683038524MaRDI QIDQ3454922

Sandra Di Rocco

Publication date: 3 December 2015

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1625

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Fibrations, degenerations in algebraic geometry (14D06)

Related Items

Local positivity of line bundles on smooth toric varieties and Cayley polytopes ⋮ Iterated and mixed discriminants ⋮ Distortion varieties ⋮ Bounds on the Picard rank of toric Fano varieties with minimal curve constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher order duality and toric embeddings
• Varieties with small dual varieties. I
• Generation of \(k\)-jets on toric varieties
• On the Hodge structure of projective hypersurfaces in toric varieties
• Higher order dual varieties of generically \(k\)-regular surfaces
• Vanishing theorems on toric varieties.
• A simple combinatorial criterion for projective toric manifolds with dual defect
• Classifying smooth lattice polytopes via toric fibrations
• Polyhedral adjunction theory
• Line bundles for which a projectivized jet bundle is a product
• Introduction to Toric Varieties. (AM-131)
• Cayley decompositions of lattice polytopes and upper bounds for h*-polynomials
• PROJECTIVE ℚ-FACTORIAL TORIC VARIETIES COVERED BY LINES
• Chern numbers of ample vector bundles on toric surfaces
• PROJECTIVE DUALITY OF TORIC MANIFOLDS AND DEFECT POLYTOPES
• Higher-dimensional algebraic geometry