On the existence of a weak Zariski decomposition on projectivized vector bundles

DOI10.1007/s10711-015-0082-8zbMath1329.14024OpenAlexW2181426456MaRDI QIDQ897086

Roberto Muñoz, Fulvio Di Sciullo, Luis-Eduardo Solá-Conde

Publication date: 16 December 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-015-0082-8

zbMATH Keywords

positivityprojective bundlesZariski decompositionsstability of vector bundles

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20)

Related Items

Newton-Okounkov bodies on projective bundles over curves ⋮ Pseudo-effective cones of projective bundles and weak Zariski decomposition

Cites Work

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• On existence of log minimal models and weak Zariski decompositions
• The cones of effective cycles on projective bundles over curves
• Rank 2 stable vector bundles on \({\mathbb{P}}^ 3({\mathbb{C}})\) with Chern classes \(c_ 1=-1,\) \(c_ 2=4\)
• Stable reflexive sheaves
• Vector bundles on complex projective spaces
• On Zariski problem
• Semistable sheaves on projective varieties and their restriction to curves
• Stable vector bundles of rank 2 on \(P^ 3\)
• Zariski-decomposition and abundance
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• On rank 2 vector bundles on Fano manifolds
• Projectivized Rank Two Toric Vector Bundles are Mori Dream Spaces
• The diminished base locus is not always closed
• Fibrés de Schwarzenberger et coniques de droites sauteuses
• Vector Bundles on the Projective Plane
• Mori dream spaces and GIT.