A simple proof for the existence of Zariski decompositions on surfaces

DOI10.1090/S1056-3911-08-00509-2zbMath1184.14007arXiv0712.1576MaRDI QIDQ3182069

Thomas Bauer

Publication date: 2 October 2009

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1576

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20)

Related Items (12)

When are Zariski chambers numerically determined? ⋮ Convexity and Zariski decomposition structure ⋮ Zariski decompositions on arithmetic surfaces ⋮ Zariski decomposition of b-divisors ⋮ Blown-up toric surfaces with non-polyhedral effective cone ⋮ Counting Zariski chambers on del Pezzo surfaces ⋮ On the zeta function of divisors for projective varieties with higher rank divisor class group ⋮ Weak bounded negativity conjecture ⋮ Wild automorphisms of projective varieties, the maps which have no invariant proper subsets ⋮ Weyl and Zariski chambers on projective surfaces ⋮ Mixed multiplicities of divisorial filtrations ⋮ An explicit bound for the log-canonical degree of curves on open surfaces

Cites Work

• On Zariski problem
• Zariski-decomposition and abundance
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• Algebraic surfaces. Transl. from the Romanian by V. Maşek

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