Open surfaces with non-positive Euler characteristic

R. V. Gurjar; A. J. Parameswaran

Compositio Mathematica (1995)

  • Volume: 99, Issue: 3, page 213-229
  • ISSN: 0010-437X

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Gurjar, R. V., and Parameswaran, A. J.. "Open surfaces with non-positive Euler characteristic." Compositio Mathematica 99.3 (1995): 213-229. <http://eudml.org/doc/90414>.

@article{Gurjar1995,
author = {Gurjar, R. V., Parameswaran, A. J.},
journal = {Compositio Mathematica},
keywords = {Miyaoka-Yau inequality; non-complete algebraic surface; non-positive topological Euler number},
language = {eng},
number = {3},
pages = {213-229},
publisher = {Kluwer Academic Publishers},
title = {Open surfaces with non-positive Euler characteristic},
url = {http://eudml.org/doc/90414},
volume = {99},
year = {1995},
}

TY - JOUR
AU - Gurjar, R. V.
AU - Parameswaran, A. J.
TI - Open surfaces with non-positive Euler characteristic
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 99
IS - 3
SP - 213
EP - 229
LA - eng
KW - Miyaoka-Yau inequality; non-complete algebraic surface; non-positive topological Euler number
UR - http://eudml.org/doc/90414
ER -

References

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  3. [F] Fujita, T.: On the topology of noncomplete algebraic surfaces, J. Fac. Sci. Univ. Tokyo29, (1982) 503-566. Zbl0513.14018MR687591
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  5. [J-S] de Jong, A.J. and Steenbrink, J.H.M.: Proof of a conjecture of W. Veys, To appear in, Indagationes Mathematicae. Zbl0857.14019
  6. [Ka1] Kawamata, Y.: Addition formula of logarithmic Kodaira dimensions for morphisms of relative dimension 1, Proc. Internat. Symp. on Algebraic geometry, Kyoto1977, 207-217. Kinokuniya, 1978. Zbl0437.14018MR578860
  7. [Ka2] Kawamata, Y.: On the classification of noncomplete algebraic surfaces, Lecture Notes in Math.732, 215-232, Springer (1979). Zbl0407.14012MR555700
  8. [Ko] Kobayashi, R.: Uniformization of complex surfaces, Adv. Stud. Pure Math.18 (1990). Zbl0755.32024MR1145252
  9. [K] Kodaira, K.: On compact analytic surfaces, Analytic functions, Princeton Univ. Press, (1960) 121-135. Zbl0137.17401MR140519
  10. [M] Miyanishi, M.: Non-complete algebraic surfaces, Lecture Notes in Math., Vol 857, Springer1981. Zbl0456.14018MR635930
  11. [M-T] Miyanishi, M. and Tsunoda, S.: Non-complete algebraic surfaces with logarithmic Kodaira dimension — ∞ and with nonconnected boundaries at infinity, Japan. J. Math. Vol 10, No. 2, (1984) 195-242. Zbl0596.14023
  12. [S] Suzuki, S.: Sur les operations holomorphes du groupe additif complexe sur le éspace de deux variables complexes, Ann. Sci. École. Norm. Sup. (4), 10, (1977) 517-546. Zbl0403.32020MR590938
  13. [V] Veys, W.: Numerical data of resolutions of singularities and Igusa's local zeta function, Thesis, Katholieke Universiteit, Leuven, (1991). 
  14. [Z] Zaidenberg, M.G.: Isotrivial families of curves on affine surfaces and characterizations of the affine plane, Math. USSR. Izvestiya30, (1988) 503-532. Zbl0666.14018MR903623

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