On varieties isomorphic in codimension one to torus embeddings
Jonathan Fine
Source: Duke Math. J. Volume 58, Number 1
(1989), 79-88.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077307373
Mathematical Reviews number (MathSciNet): MR1016414
Zentralblatt MATH identifier: 0708.14035
Digital Object Identifier: doi:10.1215/S0012-7094-89-05805-5
References
[1] B. Crauder, Birational morphisms of smooth threefolds collapsing three surfaces to a point, Duke Math. J. 48 (1981), no. 3, 589–632.
Mathematical Reviews (MathSciNet): MR83a:14012
Zentralblatt MATH: 0474.14005
Digital Object Identifier: doi:10.1215/S0012-7094-81-04833-X
Project Euclid: euclid.dmj/1077314783
[2] V. I. Danilov, The geometry of toric varieties, Russian Math. Surveys 33 (1978), no. 2, 97–154.
Zentralblatt MATH: 0425.14013
Mathematical Reviews (MathSciNet): MR495499
[3] V. I. Danilov, Decomposition of some birational morphisms, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), no. 2, 465–477, 480.
Mathematical Reviews (MathSciNet): MR81h:14010
Zentralblatt MATH: 0453.14004
[4] J. Fine Ph.D. thesis, University of Warwick, 1985.
[5] R. Hartshorne, Algebraic geometry, Graduate Texts in Math., vol. 52, Springer-Verlag, New York, 1977.
Mathematical Reviews (MathSciNet): MR57:3116
Zentralblatt MATH: 0367.14001
[6] B. Moishezon, On $n$-dimensional compact varieties with $n$-algebraically independent meromorphic functions, Amer. Math. Soc. Trans. Series 63 (1967), no. 2, 51–177.
[7] M. I. Nagata, Local rings, Interscience Tracts in Pure and Applied Mathematics, No. 13, Interscience Publishers a division of John Wiley & Sons New York-London, 1962.
Mathematical Reviews (MathSciNet): MR27:5790
Zentralblatt MATH: 0123.03402
[8] M. Schaps, Birational morphisms factorizable by two monoidal transformations, Math. Ann. 222 (1976), no. 1, 23–28.
Mathematical Reviews (MathSciNet): MR54:7467
Zentralblatt MATH: 0309.14009
Digital Object Identifier: doi:10.1007/BF01418239
[9] M. Schaps, Birational morphisms of smooth threefolds collapsing three surfaces to a curve, Duke Math. J. 48 (1981), no. 2, 401–420.
Mathematical Reviews (MathSciNet): MR83h:14012
Zentralblatt MATH: 0475.14008
Digital Object Identifier: doi:10.1215/S0012-7094-81-04823-7
Project Euclid: euclid.dmj/1077314657
[10] I. R. Shafarevich, Basic Algebraic Geometry, Springer-Verlag, Berlin, 1977.
Mathematical Reviews (MathSciNet): MR56:5538
Zentralblatt MATH: 0362.14001
[11] M. Teicher, Factorization of a birational morphism between $4$-folds, Tel Aviv University, Preprint, 1979.
Mathematical Reviews (MathSciNet): MR626957
Zentralblatt MATH: 0445.14005
Digital Object Identifier: doi:10.1007/BF01679705
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