References
Artin, M.: Some numerical criteria for contractability of curves on algebraic surfaces. Am. J. Math.84, 485–496 (1962)
Artin, M.: On isolated rational singularities of surfaces. Am. J. Math.88, 129–137 (1966)
Bădescu, L.: Applications of the Grothendieck duality theory to the study of normal isolated singularities. Rev. Roum. Pures Appl.24, 673–689 (1979)
Bombieri, E.: Canonical models of surfaces of general type. Publ. Math. IHES42, 172–219 (1973)
Demazure, M.: Surfaces de Del Pezzo. In: Singularités des surfaces. Lecture Notes in Mathematics, Vol. 777, pp. 21–69. Berlin, Heidelberg, New York: Springer 1980
Demazure, M.: Anneaux gradués normaux. In: Séminaire sur les singularités des surfaces. Ecole Polytechnique 1979
Fujita, T.: On Zariski problem. Proc. Japan Acad. Ser. A55, 106–110 (1979)
Gizatullin, M.H.: RationalG-surfaces. Math. USSR Isv.16, 103–134 (1981)
Kleiman, S.: Toward a numerical theory of ampleness. Ann. Math.84, 293–344 (1966)
Kodaira, K.: Pluricanonical systems on algebraic surfaces of general type. J. Math. Soc. Japan20, 170–192 (1968)
Laufer, H.: On rational singularities. Am. J. Math.94, 597–608 (1972)
Lipman, J.: Desingularization of two-dimensional schemes. Ann. Math.107, 151–207 (1978)
Miranda, R.: On the stability of pencils of cubic curves. Am. J. Math.102, 1177–1202 (1980)
Miyanishi, M.: Non-complete algebraic surfaces. Lecture Notes in Mathematics, Vol. 857. Berlin, Heidelberg, New York: Springer 1981
Miyaoka, Y.: On the Mumford-Ramanujam vanishing theorem on a surfaces. In: Journées de géométrie algébrique d'Angers (1979, pp. 239–247. Alphen aan den Rijn: Sijthoff and Nordhoff 1980
Morrow, J.: Minimal normal compactifications of ℂ2. Rice Univ. Stud.59, 97–112 (1973)
Nagata, M.: On rational surfaces. II. Mem. Coll. Sci. Univ. Kyoto, Ser. A, Math.33, 351–370 (1960)
Oda, T.: Torus embeddings and applications. Tata Inst. Fund. Research, Bombay (1978)
Ramanujam, C.P.: Remarks on the Kodaira vanishing theorem. J. Indian Math. Soc.36, 41–51 (1972)
Sakai, F.: Anti-Kodaira dimension of ruled surfaces. Sci. Rep. Saitama Univ.10, 1–7 (1982)
Sakai, F.: Enriques classification of normal Gorenstein surfaces. Am. J. Math.104, 1233–1341 (1982)
Sakai, F.:D-dimensions of algebraic surfaces and numerically effective divisors. Compositio Math.48, 101–118 (1983)
Wahl, J.: Vanishing theorems for resolutions of surface singularities. Invent. Math.31, 17–41 (1975)
Wahl, J.: Elliptic deformations of minimally elliptic singularities. Math. Ann.253, 241–262 (1980)
Watanabe, K.: On plurigenera of normal isolated singularities. I. Math. Ann.250, 65–94 (1980)
Zariski, O.: The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Ann. Math.76, 560–615 (1962)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sakai, F. Anticanonical models of rational surfaces. Math. Ann. 269, 389–410 (1984). https://doi.org/10.1007/BF01450701
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01450701