Toric vector bundles, branched covers of fans, and the resolution property

DOI10.1090/S1056-3911-08-00485-2zbMath1161.14039arXivmath/0605537OpenAlexW2064145112MaRDI QIDQ3549344

Sam Payne

Publication date: 22 December 2008

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605537

zbMATH Keywords

toric vector bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Related Items (20)

Projectivized Rank Two Toric Vector Bundles are Mori Dream Spaces ⋮ Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces ⋮ Boundary complexes and weight filtrations ⋮ Functorial resolution except for toroidal locus. Toroidal compactification ⋮ Toric vector bundles and parliaments of polytopes ⋮ Lagrangian multi-sections and their toric equivariant mirror ⋮ Tropical Lagrangian multisections and toric vector bundles ⋮ Extensions of toric line bundles ⋮ Vector bundles on proper toric 3-folds and certain other schemes ⋮ Limits of tropicalizations ⋮ Noetherian approximation of algebraic spaces and stacks ⋮ Okounkov bodies on projectivizations of rank two toric vector bundles ⋮ Positivity properties of toric vector bundles ⋮ Reconstruction of holomorphic tangent bundle of complex projective plane via tropical Lagrangian multi-section ⋮ Morse theory and toric vector bundles ⋮ Vector bundles on toric varieties ⋮ Toroidal \(b\)-divisors and Monge-Ampère measures ⋮ The resolution property of algebraic surfaces ⋮ Toric principal bundles, piecewise linear maps and Tits buildings ⋮ The resolution property holds away from codimension three

Cites Work

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• Toroidal embeddings. I
• Equivariant Chow cohomology of toric varieties
• Smooth complete toric threefolds with no nontrivial nef line bundles
• Vector bundles on complex projective spaces
• The Picard group of a compact toric variety
• Theory of multi-fans
• Weak semistable reduction in characteristic 0
• Introduction to Toric Varieties. (AM-131)
• Moduli of toric vector bundles
• Toric Singularities
• Torus-equivariant vector bundles on projective spaces
• Existence of vector bundles and global resolutions for singular surfaces
• The resolution property for schemes and stacks
• Toric prevarieties and subtorus actions.

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