References
Barth, W., Peters, C., v.d. Ven, A.: Compact complex surfaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, B, 4. Berlin Heidelberg New York: Springer 1984
Beauville, A.: Variétés de Prym et Jacobiennes intermédiaires. Ann. ENS, 309–391 (1977)
Brenton, L.: Some algebraicity criteria for singular surfaces. Invent. Math.41, 129–147 (1977)
Brenton, L.: A note on compactifications ofℂ2. Math. Ann.206, 303–310 (1973)
Brenton, L., Morrow, J.: Compactifications of ℂn. Trans. Am. Math. Soc.246, 139–158 (1979)
Esser, J.: Kompaktifizierungen des ℂn. Diplomarbeit, Bonn 1989
Fujita, T.: On the structure of polarized varieties with Δ-genera 0. J. Fac. Sci. Univ. Tokyo22, 103–115 (1975)
Fujita, T.: On the structure of polarized manifolds with total deficiency 1, I, II. J. Math. Soc. Jap.32/33, 709–725; 415–434 (1980/1981)
Fujita, T.: On polarized manifolds whose adjoint bundles are not semipositive. Adv. Stud. Pure Math.10, 167–178 (1987)
Fujita, T.: On topological characterizations of complex projective spaces and affine linear spaces. Proc. Jap. Acad. 56 (1980)
Furushima, M.: Singular del Pezzo surfaces and analytic compactifications of ℂ3. Nagoya Math. J.104, 1–28 (1986)
Furushima, M.: Complex analytic compactifications of ℂ3. Preprint 1988
Furushima, M., Nakayama, N.: A new construction of a compactification of ℂ3 with second Betti number one. Preprint Bonn 1987
Green, M., Griffiths, Ph.: Two applications of algebraic geometry to entire holomorphic mappings, Chern Symposium 1979 Berkeley, pp. 41–74. Berlin Heidelberg New York: Springer 1980
Grauert, H.: Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146, 331–368 (1962)
Grauert, H., Riemenschneider, O.: Verschwindungssätze für analytische Cohomologiegruppen auf komplexen Räumen. Invent. Math.11, 263–292 (1970)
Hartshorne, R.: Algebraic geometry. Graduate Texts 49. Berlin Heidelberg New York: Springer 1977
Hirzebruch, F.: Some problems on differentiable and complex manifolds. Ann. Math.60, 212–236 (1954)
Ionescu, P.: Generalized adjunction and applications. Math. Proc. Cambr. Phil. Soc.9, 457–472 (1986)
Iskovskikh, V.A.: Fano-3-folds I/II. Math. USSR Izv.11/12, 485–527; 469–506 (1977/1978)
Kawamata, Y., Matsuda, K., Matsuki, K.: Introduction to the minimal model problem. Adv. Stud. Pure Math.10, 283–360 (1987)
Kodaira, K.: Holomorphic mappings of polydisks into compact complex manifolds. J. Differ. Geom.6, 33–46 (1971)
Matsuki, K.: A criterion for the canonical bundle of a 3-fold to be ample. Math. Ann.276, 557–564 (1987)
Miyaoka, Y.: On the Kodaira dimension of minimal threefolds. Math. Ann.281, 325–332 (1988)
Mori, S.: Threefolds whose canonical bundles are not numerically effective. Ann. Math.116, 133–176 (1982)
Mori, S.: On 3-dimensional terminal singularities. Nagoya Math. J.98, 43–66 (1985)
Mori, S., Mukai, S.: Classification of Fano-3-folds withb 2≧2. Manusc. Math.36, 147–162 (1981)
Mori, S., Mukai, S.: On Fano-3-Folds withB 2≧2. Adv. Stud. Pure Math.1, 101–129 (1933)
Morrow, J.: Compactifications of ℂ2. Bull. Am. Math. Soc.78, 813–816 (1972)
Morrow, J.: Minimal normal compactifications of ℂ2. Proc. Conf. of Complex Analysis, Rice Univ. Studies.59, 97–112 (1973)
Mukai, S.: Fano manifolds of coindex 3. Proc. Nat. Acad. Sci. USA86, 3000–3002 (1989)
Murre, J.P.: Classification of Fano threefolds according to Fano and Iskovskikh. (Lect. Notes. Math., vol. 947, pp. 35–92) Berlin Heidelberg New York: Springer 1982
Peternell, Th.: Compactifications of ℂ3, II and III. Math. Ann.283, 121–137 (1989) and Preprint Bayreuth 1988
Peternell, Th., Schneider, M.: Compactifications of ℂ3, part I. Math. Ann.280, 129–146 (1988)
Ramanujan, C.P.: A characterization of the affine plane as an algebraic variety. Ann. Math.94, 69–88 (1971)
Remmert, R., v.d. Ven, A.: Zwei Sätze über die komplex projektive Ebene. Niew. Arch. Wisk.8, 147–157 (1960)
Sommese, A.J.: On the adjunction theoretic structure of projective varieties, in Proceedings Conference on complex analysis and algebraic geometry, Göttingen 1985 (Lect. Notes. Math., vol. 1194, pp. 175–213) Berlin Heidelberg New York: Springer 1986
van de Ven, A.: Analytic compactification of complex homology cells. Math. Ann.147, 189–204 (1962)
Author information
Authors and Affiliations
Additional information
Dedicated to Professor H. Grauert on the occasion of his sixtieth birthday
Rights and permissions
About this article
Cite this article
Müller-Stach, S. Compactifications of ℂ3 with reducible boundary divisor. Math. Ann. 286, 409–431 (1990). https://doi.org/10.1007/BF01453582
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01453582