Effective divisor classes and blowings-up of \({\mathbb{P}}^ 2\)

DOI10.2140/pjm.1980.89.419zbMath0564.14002OpenAlexW2048737396MaRDI QIDQ1057946

Jeffrey A. Rosoff

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2140/pjm.1980.89.419

zbMATH Keywords

Néron-Severi groupeffective divisorexceptional curvesmonoidal transformation of the complex projective plane

Mathematics Subject Classification ID

Rational and birational maps (14E05) Divisors, linear systems, invertible sheaves (14C20)

Related Items (7)

ON THE CONE OF CURVES AND OF LINE BUNDLES OF A RATIONAL SURFACE ⋮ Harbourne–Hirschowitz surfaces whose anticanonical divisors consist only of three irreducible components ⋮ 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 ⋮ Exceptional curves on smooth rational surfaces with $-K$ not nef and of self-intersection zero ⋮ On the finite generation of the effective monoid of rational surfaces ⋮ The effective monoids of the blow-ups of Hirzebruch surfaces at points in general position

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