메뉴 건너뛰기




Volumn 132, Issue 2, 1997, Pages 167-315

Local factorization of birational maps

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031586648     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1997.1675     Document Type: Article
Times cited : (15)

References (28)
  • 1
    • 0000841606 scopus 로고
    • On the valuations centered in a local domain
    • [Ab1] S. Abhyankar, On the valuations centered in a local domain, Amer. J. Math. 78 (1956), 321-348.
    • (1956) Amer. J. Math. , vol.78 , pp. 321-348
    • Abhyankar, S.1
  • 5
    • 0002798865 scopus 로고
    • Newton-Puiseux expansion and generalized Tschirnhausen transformation, I
    • [AM] S. Abhyankar and T. Moh, Newton-Puiseux expansion and generalized Tschirnhausen transformation, I, J. Reine Angew. Math. 260 (1973), 47-83.
    • (1973) J. Reine Angew. Math. , vol.260 , pp. 47-83
    • Abhyankar, S.1    Moh, T.2
  • 7
    • 0002740270 scopus 로고
    • Strong domination/weak factorization of three dimensional regular local rings
    • [Ch] C. Christensen, Strong domination/weak factorization of three dimensional regular local rings, J. Indian Math. Soc. 45 (1981), 21-47.
    • (1981) J. Indian Math. Soc. , vol.45 , pp. 21-47
    • Christensen, C.1
  • 10
    • 0003897060 scopus 로고
    • Springer-Verlag, New York/Heidelberg/Berlin
    • [Ha] R. Hartshorne, "Algebraic Geometry," Springer-Verlag, New York/Heidelberg/ Berlin, 1977.
    • (1977) Algebraic Geometry
    • Hartshorne, R.1
  • 11
    • 0000554923 scopus 로고
    • Resolution of singularities of an algebraic variety over a field of characteristic zero
    • [H] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. of Math. 79 (1964), 109-326.
    • (1964) Ann. of Math. , vol.79 , pp. 109-326
    • Hironaka, H.1
  • 12
    • 0000514120 scopus 로고
    • An example of a non-Kaehlerian complex-analytic deformation of a Kaehlerian complex structure
    • [H1] H. Hironaka, An example of a non-Kaehlerian complex-analytic deformation of a Kaehlerian complex structure, Ann. of Math. 75 (1963), 190-208.
    • (1963) Ann. of Math. , vol.75 , pp. 190-208
    • Hironaka, H.1
  • 13
    • 0010885290 scopus 로고
    • Extensions of valuations to the completion of a local domain
    • [HS] W. Heinzer and J. Sally, Extensions of valuations to the completion of a local domain, J. Pure Appl. Algebra 71 (1991), 175-185.
    • (1991) J. Pure Appl. Algebra , vol.71 , pp. 175-185
    • Heinzer, W.1    Sally, J.2
  • 16
    • 84966212924 scopus 로고
    • The uniform bound problem for local birational nonsingular morphisms
    • [J] B. Johnston, The uniform bound problem for local birational nonsingular morphisms, Trans. Amer. Math. Soc. 312 (1989), 421-431.
    • (1989) Trans. Amer. Math. Soc. , vol.312 , pp. 421-431
    • Johnston, B.1
  • 17
    • 0010811093 scopus 로고
    • Appendix to chapter II
    • (O. Zariski, Ed.), 2nd ed., Springer-Verlag, Berlin
    • [L] J. Lipman, Appendix to chapter II, in "Algebraic Surfaces" (O. Zariski, Ed.), 2nd ed., Springer-Verlag, Berlin, 1971.
    • (1971) Algebraic Surfaces
    • Lipman, J.1
  • 19
    • 0010936142 scopus 로고
    • Factorization of birational maps in dimension three
    • American Math. Society, Providence, RI
    • [P] H. Pinkham, Factorization of birational maps in dimension three, in "Proceedings of Symposia in Pure Mathematics," Vol. 40, Part 2, pp. 343-372, American Math. Society, Providence, RI, 1983.
    • (1983) Proceedings of Symposia in Pure Mathematics , vol.40 , Issue.PART 2 , pp. 343-372
    • Pinkham, H.1
  • 20
    • 0001692371 scopus 로고
    • Regular overrings of regular local rings
    • [S] J. Sally, Regular overrings of regular local rings, Trans. Amer. Math. Soc. 171 (1972), 291-300.
    • (1972) Trans. Amer. Math. Soc. , vol.171 , pp. 291-300
    • Sally, J.1
  • 21
    • 0010937603 scopus 로고
    • Generalized Newton-Puiseux expansions and Abhyankar-Moh semigroup theorem
    • [Sa] A. Sathaye, Generalized Newton-Puiseux expansions and Abhyankar-Moh semigroup theorem, Invent. Math. 74 (1983), 149-157.
    • (1983) Invent. Math. , vol.74 , pp. 149-157
    • Sathaye, A.1
  • 22
    • 0003304158 scopus 로고
    • The theory of valuations
    • Providence, RI
    • [Seh] O. Schilling, "The Theory of Valuations," Amer. Math. Soc., Providence, RI, 1950.
    • (1950) Amer. Math. Soc.
    • Schilling, O.1
  • 23
    • 0000437634 scopus 로고
    • Monodial transforms
    • [Sh] D. L. Shannon, Monodial transforms, Amer. J. Math. 45 (1973), 284-320.
    • (1973) Amer. J. Math. , vol.45 , pp. 284-320
    • Shannon, D.L.1
  • 24
    • 0004055955 scopus 로고
    • Princeton Univ. Press, Princeton, NJ
    • [W] R. J. Walker, "Algebraic Curves," Princeton Univ. Press, Princeton, NJ, 1950.
    • (1950) Algebraic Curves
    • Walker, R.J.1
  • 25
    • 0000639613 scopus 로고
    • The reduction of the singularities of an algebraic surface
    • [Z1] O. Zariski, The reduction of the singularities of an algebraic surface, Ann. Math. 40 (1939), 639-689.
    • (1939) Ann. Math. , vol.40 , pp. 639-689
    • Zariski, O.1
  • 26
    • 0000233496 scopus 로고
    • Local uniformization of algebraic varieties
    • [Z2] O. Zariski, Local uniformization of algebraic varieties, Ann. of Math. 41 (1940), 852-896.
    • (1940) Ann. of Math. , vol.41 , pp. 852-896
    • Zariski, O.1
  • 27
    • 0000192602 scopus 로고
    • Reduction of the singularities of algebraic three dimensional varieties
    • [Z3] O. Zariski, Reduction of the singularities of algebraic three dimensional varieties, Ann. of Math. 45 (1944), 472-542.
    • (1944) Ann. of Math. , vol.45 , pp. 472-542
    • Zariski, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.