A geometric criterion for the finite generation of the Cox rings of projective surfaces

DOI10.4171/RMI/878zbMath1331.14008arXiv1201.3694OpenAlexW2963304939MaRDI QIDQ2633980

Osvaldo Osuna Castro, Mustapha Lahyane, Israel Moreno-Mejía, Brenda Leticia De La Rosa Navarro, Juan Bosco Frías Medina

Publication date: 5 February 2016

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3694

zbMATH Keywords

rational surfacesCox ringseffective monoids

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22)

Related Items (5)

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 ⋮ Platonic Surfaces ⋮ Erratum to: ``A geometric criterion for the finite generation of the Cox rings of projective surfaces. ⋮ Rational surfaces with finitely generated Cox rings and very high Picard numbers

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