On the compactification problem for Stein surfaces

Vo Van Tan

Compositio Mathematica (1989)

  • Volume: 71, Issue: 1, page 1-12
  • ISSN: 0010-437X

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Van Tan, Vo. "On the compactification problem for Stein surfaces." Compositio Mathematica 71.1 (1989): 1-12. <http://eudml.org/doc/89966>.

@article{VanTan1989,
author = {Van Tan, Vo},
journal = {Compositio Mathematica},
keywords = {Stein surface algebraic compactification; Kodaira classification; non- algebraic compactification},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Kluwer Academic Publishers},
title = {On the compactification problem for Stein surfaces},
url = {http://eudml.org/doc/89966},
volume = {71},
year = {1989},
}

TY - JOUR
AU - Van Tan, Vo
TI - On the compactification problem for Stein surfaces
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 71
IS - 1
SP - 1
EP - 12
LA - eng
KW - Stein surface algebraic compactification; Kodaira classification; non- algebraic compactification
UR - http://eudml.org/doc/89966
ER -

References

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  1. 1 I. Enoki, (a) Surfaces of class VII0 with curves, Tohoku Math. J.33 (1981) 453-492; (b) On parabolic Inoue surfaces, Preprint. Zbl0476.14013MR643229
  2. 2 R. Hartshorne, Algebraic geometry. Graduate Texts in Math. # 52. Springer VerlagBerlinHeidelbergNew York (1977). Zbl0367.14001MR463157
  3. 3 A. Howard, On the compactification of a Stein surface. Math. Ann.176 (1968) 221-224. Zbl0182.11102MR223602
  4. 4 S. Iitaka, On logarithmic Kodaira dimension of algebraic varieties. Complex analysis & Algebraic geometry, Tokyo: Iwanami (1977) 175-189. Zbl0351.14016MR569688
  5. 5 Ma Kato, Compact complex manifolds containing "global" spherical shells, I, Proc. Int. Symp. on Algebraic Geometry, Kyoto. Kinikuniya, Tokyo (1978) 45-84. Zbl0421.32010MR578853
  6. 6 K. Kodaira, On the structure of complex analytic surfaces. Amer. J. Math.86 (1964) 751-798; ibid.88 (1966) 682-721; ibid.90 (1968) 55-83, 1048-1063. Zbl0193.37702
  7. 7 F. Sakai, Kodaira dimensions of complements of divisors. Complex Analysis & Algebraic Geometry, Tokyo: Iwanami (1977) 239-257. Zbl0375.14009MR590433
  8. 8 R. Simha, Algebraic varieties biholomorphic to C* x C*. Tohoku Math. J.30 (1978) 455-461. Zbl0402.32010MR509026
  9. 9 J.P. Serre, Groupes algébriques et corps de classes. Hermann, Paris (1959). Zbl0097.35604
  10. 10 T. Ueda, Compactifications of C x C* and (C*)2. Tohoku Math. J.31, (1979) 81-90. Zbl0408.14011MR526511
  11. 11 A. Van de.Ven, Analytic compactifications of complex homology cells. Math. Ann.147 (1962) 189-204. Zbl0105.14406MR140125
  12. 12 Vo Van Tan, (a) On the compactification of strongly pseudoconvex surfaces. Proc. Amer. Math. Soc.82 (1981) 407-410; (b) On the compactification of strongly pseudoconvex surfaces II. Proc. Amer. Math. Soc.90 (1984) 189-194; (c) On the compactification of strongly pseudoconvex surfaces III. Math. Zeit.195 (1987) 259-267. Zbl0662.32024MR612730

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