Balanced line bundles on Fano varieties

DOI10.1515/crelle-2015-0084zbMath1397.14029arXiv1409.5901OpenAlexW2964293976MaRDI QIDQ1789361

Sho Tanimoto, Brian Lehmann, Yuri Tschinkel

Publication date: 10 October 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5901

zbMATH Keywords

Manin's conjecturebalanced line bundle

Mathematics Subject Classification ID

Rational points (14G05) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (14)

Rational curves on del Pezzo surfaces in positive characteristic ⋮ Moduli spaces of rational curves on Fano threefolds ⋮ Geometric consistency of Manin's conjecture ⋮ On upper bounds of Manin type ⋮ A Zariski dense exceptional set in Manin's conjecture: dimension 2 ⋮ Classifying sections of del Pezzo fibrations. I ⋮ Geometric Manin’s conjecture and rational curves ⋮ Cylinders in rational surfaces ⋮ Beyond heights: slopes and distribution of rational points ⋮ Manin's conjecture and the Fujita invariant of finite covers ⋮ On exceptional sets in Manin's conjecture ⋮ Manin's \(b\)-constant in families ⋮ Rational curves on prime Fano threefolds of index 1 ⋮ Unnamed Item

Cites Work

• Varieties with generically nef tangent bundles
• Néron-Severi groups under specialization
• Asymptotic invariants of base loci
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• Rational points of bounded height on Fano varieties
• On the number of rational points of bounded height on algebraic varieties
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• On a generalization of complete intersections
• De Pezzo surfaces with nonrational singularities
• Classification of normal quartic surfaces with irrational singularities
• Heights and Tamagawa measures on Fano varieties
• Effective freeness and point separation for adjoint bundles
• On Shokurov's rational connectedness conjecture
• Height Zeta Functions of Equivariant Compactifications of Unipotent Groups
• A cone theorem for nef curves
• Rational connectedness of log Q-Fano varieties
• Balanced Line Bundles and Equivariant Compactifications of Homogeneous Spaces
• Existence of minimal models for varieties of log general type
• Quartic Surfaces of Elliptic Ruled Type
• Tamagawa numbers of polarized algebraic varieties
• Chapters on algebraic surfaces
• Singularities of Pairs
• Rational points on some Fano cubic bundles
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• Rational Points on Some Fano Quadratic Bundles
• On Isolated Rational Singularities of Surfaces
• Threefolds whose canonical bundles are not numerically effective
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Balanced line bundles on Fano varieties