On the logarithmic plurigenera of algebraic surfaces

Yoshiyuki Kuramoto

Compositio Mathematica (1981)

  • Volume: 43, Issue: 3, page 343-364
  • ISSN: 0010-437X

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Kuramoto, Yoshiyuki. "On the logarithmic plurigenera of algebraic surfaces." Compositio Mathematica 43.3 (1981): 343-364. <http://eudml.org/doc/89506>.

@article{Kuramoto1981,
author = {Kuramoto, Yoshiyuki},
journal = {Compositio Mathematica},
keywords = {non-complete complex algebraic surface; logarithmic Kodaira dimension; logarithmic plurigenera},
language = {eng},
number = {3},
pages = {343-364},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {On the logarithmic plurigenera of algebraic surfaces},
url = {http://eudml.org/doc/89506},
volume = {43},
year = {1981},
}

TY - JOUR
AU - Kuramoto, Yoshiyuki
TI - On the logarithmic plurigenera of algebraic surfaces
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 43
IS - 3
SP - 343
EP - 364
LA - eng
KW - non-complete complex algebraic surface; logarithmic Kodaira dimension; logarithmic plurigenera
UR - http://eudml.org/doc/89506
ER -

References

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  1. [1] S.S. Abhyankar and T.T. Moh: Embeddings of the line in the plane. J. Reine Angew. Math.276 (1975) 148-166. Zbl0332.14004MR379502
  2. [2] S. Iitaka: On D-dimensions of algebraic varieties. J. Math. Soc. Japan, 23 (1971) 356-373. Zbl0212.53802MR285531
  3. [3] S. Iitaka: Logarithmic forms of algebraic varieties. J. Fac. Sci. Univ. Tokyo, 23, 1976525-544. Zbl0342.14017MR429884
  4. [4] S. Iitaka: Algebraic Geometry. III. 1977Iwanami- Shoten [Japanese]. Zbl0656.14001MR845274
  5. [5] S. Iitaka: On logarithmic K3 surfaces. Osaka J. Math.16 (1979) 675-705. Zbl0454.14016MR551583
  6. [6] Y. Kawamata: Addition formula of logarithmic Kodaira dimensions for morphisms of relative dimension one. In: Proceedings of the International Symposium on Algebraic Geometry Kyoto (1977) 207-217. Zbl0437.14018MR578860
  7. [7] Y. Kawamata: On the classification of non-complete algebraic surfaces. In: Algebraic Geometry. Lect. Note in Math., vol. 732, Springer (1979) 215-232. Zbl0407.14012MR555700
  8. [8] Y. Kawamata: On the cohomology of Q-divisors. Proc. Japan Acad., 56 (1980) Ser. A, No. 1. Zbl0443.14011MR562866
  9. [9] K. Kodaira: On compact complex analytic surfaces I. Ann. of Math., 71 (1960) 111-152. Zbl0098.13004MR132556
  10. [10] K. Kodaira: On the structure of compact complex analytic surfaces I. Amer. J. Math., 86 (1964) 751-798. Zbl0137.17501MR187255
  11. [11] K. Kodaira: On compact analytic surfaces II, III. Ann. of Math., 77, 563-626, 78 (1963) 1-40. Zbl0171.19601MR184257
  12. [12] M. Miyanishi and T. Sugie: Affine surfaces containing cylinderlike open sets. (Preprint). Zbl0445.14017MR564667

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