Restricted volumes and divisorial Zariski decompositions

DOI10.1353/ajm.2013.0030zbMath1277.14006arXiv1005.1503OpenAlexW2102363671MaRDI QIDQ2851613

Shin-ichi Matsumura

Publication date: 14 October 2013

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

Full work available at URL: https://arxiv.org/abs/1005.1503

zbMATH Keywords

currentZariski decompositionrestricted volumedivisor (big)Kähler manifold (compact)

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Compact Kähler manifolds: generalizations, classification (32J27) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Currents (32U40)

Related Items (6)

Restricted Carathéodory measure and restricted volume of the canonical bundle ⋮ Properties of Carathéodory measure hyperbolic universal covers of compact Kähler manifolds ⋮ K-stability and Fujita approximation ⋮ Restricted volumes on Kähler manifolds ⋮ Positivity on subvarieties and vanishing of higher cohomology ⋮ Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces

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