The cone of curves associated to a plane configuration

DOI10.4171/CMH/5zbMath1080.14045OpenAlexW1980294853MaRDI QIDQ1772470

Francisco Monserrat, Carlos Galindo Pastor

Publication date: 18 April 2005

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/cmh/5

zbMATH Keywords

singularitieseffective coneplane configuration

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Minimal model program (Mori theory, extremal rays) (14E30) Configurations and arrangements of linear subspaces (14N20) Cycles and subschemes (14C99)

Related Items (10)

A geometric criterion for the finite generation of the Cox rings of projective surfaces ⋮ Algebraic integrability of foliations of the plane ⋮ Harbourne–Hirschowitz surfaces whose anticanonical divisors consist only of three irreducible components ⋮ Minimal plane valuations ⋮ The effective monoids of some blow-ups of Hirzebruch surfaces ⋮ On the effective, nef, and semi-ample monoids of blowups of Hirzebruch surfaces at collinear points ⋮ The cone of curves and the Cox ring of rational surfaces given by divisorial valuations ⋮ Platonic Surfaces ⋮ Curves having one place at infinity and linear systems on rational surfaces ⋮ Cox rings of rational surfaces and redundant blow-ups

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