Zariski decompositions of numerical cycle classes

DOI10.1090/jag/677zbMath1370.14010arXiv1310.0538OpenAlexW2963195473MaRDI QIDQ2832762

Brian Lehmann, Mihai Fulger

Publication date: 14 November 2016

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

Full work available at URL: https://arxiv.org/abs/1310.0538

zbMATH Keywords

algebraic cyclesZariski decompositionnumerical equivalence

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Algebraic cycles (14C25)

Related Items (21)

Heights on stacks and a generalized Batyrev–Manin–Malle conjecture ⋮ Augmented and restricted base loci of cycles ⋮ Convexity and Zariski decomposition structure ⋮ Positivity vs. slope semistability for bundles with vanishing discriminant ⋮ Characterizing volume via cone duality ⋮ Algebraic integrability of foliations with numerically trivial canonical bundle ⋮ Blown-up toric surfaces with non-polyhedral effective cone ⋮ Toric geometry. Abstracts from the workshop held March 27 -- April 2, 2022 ⋮ On the cone of effective 2-cycles on \(\overline{M}_{0,7}\) ⋮ FINITENESS OF LOG MINIMAL MODELS AND NEF CURVES ON -FOLDS IN CHARACTERISTIC ⋮ Seshadri constants for vector bundles ⋮ Iitaka dimension for cycles ⋮ A note about connectedness theorems à la Barth ⋮ Volume and Hilbert functions of \(\mathbb{R}\)-divisors ⋮ Morphisms and faces of pseudo-effective cones ⋮ On nef subvarieties ⋮ Positivity functions for curves on algebraic varieties ⋮ Effective cycles on the symmetric product of a curve, I: the diagonal cone ⋮ EFFECTIVE CYCLES ON SOME LINEAR BLOWUPS OF PROJECTIVE SPACES ⋮ Curves of maximal moduli on K3 surfaces ⋮ Intersection theory of nefb-divisor classes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparing numerical dimensions
• Zariski decomposition and canonical rings of elliptic threefolds
• The cones of effective cycles on projective bundles over curves
• Zariski decomposition of divisors on algebraic varieties
• Semi-ampleness of the numerically effective part of Zariski decomposition
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• On Zariski problem
• Newton polyhedron, Hilbert polynomial, and sums of finite sets
• Approximating Zariski decomposition of big line bundles
• Smoothness, semi-stability and alterations
• Kernels of numerical pushforwards
• Analytic Zariski decomposition
• Moduli spaces of weighted pointed stable curves.
• Zariski-decomposition and abundance
• Zariski decomposition of b-divisors
• The minimal model program for the Hilbert scheme of points on \(\mathbb P^2\) and Bridgeland stability
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• Fujita's approximation theorem in positive characteristics
• Stable base loci, movable curves, and small modifications, for toric varieties
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Conformal blocks and rational normal curves
• Zariski Decomposition: A New (Old) Chapter of Linear Algebra
• Teissier's problem on inequalities of nef divisors
• Contractible Extremal Rays on \overline{M}_{0,n}
• Pseudoeffective and nef classes on abelian varieties
• Differentiability of volumes of divisors and a problem of Teissier
• Convex bodies associated to linear series
• Intersection Theory of Moduli Space of Stable N-Pointed Curves of Genus Zero
• Zariski chambers, volumes, and stable base loci
• Divisorial Zariski decompositions on compact complex manifolds
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• The non-nef locus in positive characteristic

This page was built for publication: Zariski decompositions of numerical cycle classes