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Volumn 244, Issue 4, 2003, Pages 689-695

A new topological proof of the Abhyankar-Moh theorem

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EID: 0041415819     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00209-003-0498-y     Document Type: Article
Times cited : (5)

References (11)
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    • Abhyankar, S.S.1    Moh, T.T.2
  • 2
    • 0013379992 scopus 로고    scopus 로고
    • Geometry of plane curves via Tschrinhausen resolution tower
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    • [A'CO] A'Campo, N., Oka, M.: Geometry of plane curves via Tschrinhausen resolution tower. Osaka J. Math. 333, 1003-1033 (1996)
    • (1996) Osaka J. Math. , vol.333 , pp. 1003-1033
    • A'Campo, N.1    Oka, M.2
  • 3
    • 0042250961 scopus 로고
    • Une démonstration géomé trique du théorème d'Abhyankar- Moh.
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    • [A-B] Artal-Bartelo, E.: Une démonstration géomé trique du théorème d'Abhyankar- Moh. J. reine angew. Math. 464, 97-108 (1995)
    • (1995) J. Reine Angew. Math. , vol.464 , pp. 97-108
    • Artal-Bartelo, E.1
  • 4
    • 0030304028 scopus 로고    scopus 로고
    • On contractible curves in the complex affine plane
    • [GuM]
    • [GuM] Gurjar, R.V., Miyanishi, M.: On contractible curves in the complex affine plane. Tohôku Math. J. 48(2), 459-469 (1996)
    • (1996) Tohôku Math. J. , vol.48 , Issue.2 , pp. 459-469
    • Gurjar, R.V.1    Miyanishi, M.2
  • 5
    • 0011342593 scopus 로고
    • On Abhyankar-Moh's epimorphism theorem
    • [Kan]
    • [Kan] Kang, M.C.: On Abhyankar-Moh's epimorphism theorem. Amer. J. Math. 113, 399-421 (1991)
    • (1991) Amer. J. Math. , vol.113 , pp. 399-421
    • Kang, M.C.1
  • 6
    • 0009106113 scopus 로고
    • Algebraic solutions of polynomial differential equations and foliations in dimension two
    • [L-N] Holomorphic Dynamics, Mexico 1986, Springer-Verlag, Berlin-Heidelberg-New York
    • [L-N] Lins-Neto, A.: Algebraic solutions of polynomial differential equations and foliations in dimension two. In: Holomorphic Dynamics, Mexico 1986, Lect. Notes in Math., 1345, Springer-Verlag, Berlin-Heidelberg-New York, 1988, pp. 193-232
    • (1988) Lect. Notes in Math. , vol.1345 , pp. 193-232
    • Lins-Neto, A.1
  • 7
    • 0003100615 scopus 로고
    • Analytic irreducibility of certain curves on a nonsingular affine surface
    • [Miy] Kyoto. Kinokuniya, Tokyo
    • [Miy] Miyanishi, M.: Analytic irreducibility of certain curves on a nonsingular affine surface. In: Proc. Int. Symp. in Algebraic Geometry, Kyoto 1977. Kinokuniya, Tokyo, 1978, pp. 575-587
    • (1977) Proc. Int. Symp. in Algebraic Geometry , pp. 575-587
    • Miyanishi, M.1
  • 8
    • 0011303225 scopus 로고
    • On the computation of minimal polynomials
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    • [Rich] Richman, D.R.: On the computation of minimal polynomials. J. Algebra 103, 1-17 (1986)
    • (1986) J. Algebra , vol.103 , pp. 1-17
    • Richman, D.R.1
  • 9
    • 0011357228 scopus 로고
    • Embeddings of the line in the plane
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    • [Rud] Rudolph, L.: Embeddings of the line in the plane. J. reine angew. Math. 337, 113-118 (1982)
    • (1982) J. Reine Angew. Math. , vol.337 , pp. 113-118
    • Rudolph, L.1
  • 11
    • 0033416537 scopus 로고    scopus 로고
    • Affine curves with one place at infinity
    • [Suz2]
    • [Suz2] Suzuki, M.: Affine curves with one place at infinity. Ann. Inst. Fourier 49, 375- 404 (1999)
    • (1999) Ann. Inst. Fourier , vol.49 , pp. 375-404
    • Suzuki, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.