On contractible curves in the complex affine plane

Tohoku Mathematical Journal

Volumn 48, Issue 3, 1996, Pages 459-469

  Gurjar, Rajendra Vasant ^a   Miyanishi, Masayoshi ^b  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^b OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030304028     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178225344     Document Type: Article

References (22)

1. S. S. Abhyankar and T. T. Moh, Embeddings of the line in the plane, J. reine angew. Math. 276 (1975), 148-166.
2. T. C. Chau, A note concerning Fox’s paper on Fenchel’s conjecture, Proc. Amer. Math. Soc. 88 (1983), 584-586.
3. R. H. Fox, On Fenchel’s conjecture about F-groups, Math. Tidsskr. B, 1952, 61-65.
4. T. Fujita, On the topology of non-complete algebraic surfaces, J. Fac. Sci. Univ. Tokyo 29 (1982), 503-566.
5. R. V. Gurjar and M. Miyanishi, Affine surfaces with k ≤ 1, Algebraic Geometry and Commutative Algebra, Kinokuniya, Tokyo, 1987, 99-124.
6. S. Iitaka, Algebraic Geometry, Graduate Texts in Math. no. 76, Berlin-Heidelberg-New York, Springer, 1981.
7. T. Kambayashi and M. Miyanishi, On flat fibrations by the affine line, Illinois J. Math. 22 (1978), 662-671.
8. M.-C. Kang, On Abhyankar-Moh’s epimorphism theorem, Amer. J. Math. 113 (1991), 399-421.
9. Y. Kawamata, Addition formula of logarithmic Kodaira dimensions for morphisms of relative dimension 1, Proc. Internat. Symp. on Algebraic Geometry, Kyoto 1977,207-217, Kinokuniya, 1978.
10. Y. Kawamata, On the classification of non-complete algebraic surfaces, Proc. Copenhagen Summer Meeting in Algebraic Geometry, Lecture Notes in Math. 732, Berlin-Heidelberg-New York, Springer, 1979.
11. R. Kobayashi, Einstein-Kâhler metrics on open Satake K-surfaces with isolated singularities, Math. Ann. 272 (1985), 385-398.
12. R. Kobayashi, S. Nakamura and F. Sakai, A numerical characterization of ball quotients for normal surfaces with branch loci, Proc. Japan Acad. Ser. A 65 (1989), 238-241.
13. 2 is equivalent to a quasi-homogeneous curve, Soviet Math. Dokl. 28 (1983), 200-203.
14. M. Miyanishi, Analytic irreducibility of certain curves on a non-singular affine rational surface, Proc. Internat. Symp. on Algebraic Geometry, Kyoto 1977, 575-587.
15. M. Miyanishi, Lectures on curves on rational and unirational surfaces, Tata Inst. Fund. Res. 1978, Berlin-Heidelberg-New York, Springer.
16. M. Miyanishi, Non-complete algebraic surfaces, Lecture Notes in Math. 857, Berlin-Heidelberg-New York, Springer, 1981.
17. M. Miyanishi and S. Tsunoda, Absence of the affine lines on the homology planes of general type, J. Math. Kyoto. Univ. 32 (1992), 443-450.
18. C. P. Ramanujam, A topological characterization of the affine plane as an algebraic variety, Ann. of Math. 94(1971), 69-88.
19. D. R. Richman, On the computation of minimal polynomials, J. Algebra 103 (1986), 1-17.
20. L. Rudolph, Embeddings of the line in the plane, J. reine angew. Math. 337 (1982), 113-118.
21. 2, J. Math. Soc. Japan 26 (1974), 241-257.
22. M. Zaidenberg, Isotrivial families of curves on affine surfaces and characterization of the affine plane, Math. USSR Izvestiya 30 (1988), 503-531.