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Erratum to: “A geometric criterion for the finite generation of the Cox rings of projective surfaces”. (English) Zbl 1359.14008
Summary: We add a reasonable hypothesis in Theorem 1 in [the authors, Rev. Mat. Iberoam. 31, No. 4, 1131–1140 (2015; Zbl 1331.14008)], in order to make it correct.

MSC:
14C20 Divisors, linear systems, invertible sheaves
14C22 Picard groups
14C40 Riemann-Roch theorems
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[1] De La Rosa Navarro, B. L., Fr’ıas Medina, J. B., Lahyane, M., Moreno Mej’ıa, I., Osuna Castro, O.: A geometric criterion for the finite generation of the Cox rings. Rev. Mat. Iberoam.31 (2015) no. 4, 1131–1140. · Zbl 1331.14008
[2] Harbourne, B.: Anticanonical rational surfaces. Trans. Amer. Math. Soc. 349 (1997) no. 3, 1191–1208. · Zbl 0860.14006
[3] Lahyane, M.: On the finite generation of the effective monoid of rational surfaces. J. Pure Appl. Algebra 214 (2010) no. 7, 1217–1240. · Zbl 1188.14024
[4] Zariski, O.: The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Annals of Math.76 (1962) no. 3, 560–615. · Zbl 0124.37001
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