Morphisms and faces of pseudo-effective cones

DOI10.1112/plms/pdw008zbMath1348.14039arXiv1601.03314OpenAlexW3100941534MaRDI QIDQ2809274

Mihai Fulger, Brian Lehmann

Publication date: 27 May 2016

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03314

zbMATH Keywords

Zariski decompositionmovable cyclespseudo-effective cycles

Mathematics Subject Classification ID

Minimal model program (Mori theory, extremal rays) (14E30) Algebraic cycles (14C25)

Related Items (12)

Extremality of rational tails boundary strata in \(\overline{\mathscr{M}}_{g,n}\) ⋮ Augmented and restricted base loci of cycles ⋮ Convexity and Zariski decomposition structure ⋮ Positivity of the diagonal ⋮ On the effective cone of higher codimension cycles in \(\overline{\mathcal{M}}_{g,n} \) ⋮ Seshadri constants for vector bundles ⋮ Kernels of numerical pushforwards ⋮ On the cone of effective surfaces on $\overline{\mathcal A}_3$ ⋮ Iitaka dimension for cycles ⋮ Effective cycles on the symmetric product of a curve. II: The Abel-Jacobi faces ⋮ \(k\)-differentials on curves and rigid cycles in moduli space ⋮ Effective cycles on the symmetric product of a curve, I: the diagonal cone

Cites Work

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• Varieties with generically nef tangent bundles
• Pseudo-effective classes and pushforwards
• On the cone of effective 2-cycles on \(\overline{M}_{0,7}\)
• Kernels of numerical pushforwards
• Rational equivalence of O-cycles on surfaces
• Zariski decompositions of numerical cycle classes
• Pseudoeffective and nef classes on abelian varieties
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• Extremal higher codimension cycles on moduli spaces of curves
• Positive cones of dual cycle classes

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