The diminished base locus is not always closed

DOI10.1112/S0010437X14007544zbMath1317.14031arXiv1212.3738OpenAlexW2153115354MaRDI QIDQ2931765

John Lesieutre

Publication date: 27 November 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3738

zbMATH Keywords

Zariski decompositionCremona transformationsDiminished base locusNumerically effective

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (19)

Newton-Okounkov bodies on projective bundles over curves ⋮ Potentially non-klt locus and its applications ⋮ On partially ample divisors ⋮ Weak Zariski decompositions and log terminal models for generalized pairs ⋮ Pseudo-effective cones of projective bundles and weak Zariski decomposition ⋮ On the existence of a weak Zariski decomposition on projectivized vector bundles ⋮ Restricted volumes on Kähler manifolds ⋮ Positivity of anticanonical divisors in algebraic fibre spaces ⋮ On partially ample adjoint divisors ⋮ Arithmetically nef line bundles ⋮ Nakamaye's theorem on log canonical pairs ⋮ Numerical triviality and pullbacks ⋮ Positivity of line bundles and Newton-Okounkov bodies ⋮ A Nadel vanishing theorem via injectivity theorems ⋮ Curves disjoint from a nef divisor ⋮ A Mehta-Ramanathan theorem for linear systems with basepoints ⋮ On a generalized Batyrev's cone conjecture ⋮ A Nadel vanishing theorem for metrics with minimal singularities on big line bundles ⋮ On positivity and base loci of vector bundles

Cites Work

• On existence of log minimal models and weak Zariski decompositions
• Asymptotic invariants of base loci
• Periodicities in linear fractional recurrences: degree growth of birational surface maps
• On the degree growth of birational mappings in higher dimension
• Dynamics on blowups of the projective plane
• On rational surfaces, II
• On a class of special linear systems of $\mathbb{P}^3$
• Elementary (−1)-Curves of ℙ³
• Linear Transformations with Invariant Cones

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