The cones of effective cycles on projective bundles over curves

DOI10.1007/s00209-010-0744-zzbMath1230.14047arXiv0910.3703OpenAlexW2082887271MaRDI QIDQ641881

Mihai Fulger

Publication date: 25 October 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3703

zbMATH Keywords

projective curveprojective bundleHarder-Narasimhan filtrationcone of effective cyclesnef cycle

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Algebraic cycles (14C25)

Related Items (26)

Seshadri constants on some Quot schemes ⋮ Cones of special cycles of codimension 2 on orthogonal Shimura varieties ⋮ Nef cone and Seshadri constants on products of projective bundles over curves ⋮ Newton-Okounkov bodies on projective bundles over curves ⋮ Convexity and Zariski decomposition structure ⋮ Nef cones of projective bundles over surfaces and Seshadri constants ⋮ Positivity vs. slope semistability for bundles with vanishing discriminant ⋮ New constructions of nef classes on self-products of curves ⋮ Pseudo-effective cones of projective bundles and weak Zariski decomposition ⋮ Slope inequalities for KSB‐stable and K‐stable families ⋮ A decomposition theorem for singular spaces with trivial canonical class of dimension at most five ⋮ On the existence of a weak Zariski decomposition on projectivized vector bundles ⋮ New slope inequalities for families of complete intersections ⋮ A note on polarized varieties with high nef value ⋮ On the cone of effective 2-cycles on \(\overline{M}_{0,7}\) ⋮ Nef and pseudoeffective cones of product of projective bundles over a curve ⋮ On ampleness of vector bundles ⋮ Higher codimension cycles on the Hilbert scheme of three points on the projective plane ⋮ Effective cycles on the symmetric product of a curve. II: The Abel-Jacobi faces ⋮ Pseudo-effective and nef cones on spherical varieties ⋮ Seshadri constants of equivariant vector bundles on toric varieties ⋮ Zariski decompositions of numerical cycle classes ⋮ Positivity functions for curves on algebraic varieties ⋮ Effective cycles on the symmetric product of a curve, I: the diagonal cone ⋮ Dagger closure and solid closure in graded dimension two ⋮ Effective cones of cycles on products of projective bundles over curves

Cites Work

• The cone of curves of algebraic varieties
• Vector bundles on complex projective spaces
• Semistable sheaves on projective varieties and their restriction to curves
• Semistability vs. nefness for (Higgs) vector bundles
• Toward a numerical theory of ampleness
• Ample Vector Bundles on Curves
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