Effective cones of cycles on products of projective bundles over curves

DOI10.1142/S0129167X21500270zbMath1467.14021arXiv2001.03729OpenAlexW3126230199MaRDI QIDQ5006354

Rupam Karmakar

Publication date: 13 August 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03729

zbMATH Keywords

\(k\)-cycleseffective conesprojective bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Vector bundles on curves and their moduli (14H60) Minimal model program (Mori theory, extremal rays) (14E30) Algebraic cycles (14C25)

Cites Work

• Effective cones of cycles on blowups of projective space
• Pseudo-effective classes and pushforwards
• The cones of effective cycles on projective bundles over curves
• Kernels of numerical pushforwards
• Nef and pseudoeffective cones of product of projective bundles over a curve
• Pseudoeffective and nef classes on abelian varieties
• Extremal higher codimension cycles on moduli spaces of curves
• Positive cones of dual cycle classes
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