Another proof of Sumihiro’s theorem on torus embeddings

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Another proof of Sumihiro’s theorem on torus embeddings

Jonathan Fine

Source: Duke Math. J. Volume 69, Number 1 (1993), 243-245.

First Page: Show

Primary Subjects: 14M25

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077293433
Mathematical Reviews number (MathSciNet): MR1201700
Zentralblatt MATH identifier: 0786.14008
Digital Object Identifier: doi:10.1215/S0012-7094-93-06912-8

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References

[1] J. Fine Ph.D. thesis, Warwick Univ., England, 1983.

[2] J. Fine, On varieties isomorphic in codimension one to torus embeddings, Duke Math. J. 58 (1989), no. 1, 79–88.

Mathematical Reviews (MathSciNet): MR90h:14066

Zentralblatt MATH: 0708.14035

Digital Object Identifier: doi:10.1215/S0012-7094-89-05805-5

Project Euclid: euclid.dmj/1077307373

[3] F. Knop, H. Kraft, D. Luna, and Th. Vust, Local properties of algebraic group actions, Algebraische Transformationsgruppen und Invariantentheorie eds. H. Kraft, P. Slodowy, and T. A. Springer, DMV Sem., vol. 13, Birkhäuser, Basel, 1989, pp. 63–75.

Mathematical Reviews (MathSciNet): MR1044585

Zentralblatt MATH: 0722.14032

[4] T. Oda, Geometry of toric varieties, Proceedings of the Hyderabad Conference on Algebraic Groups (Hyderabad, 1989) eds. S. Ramanan, C. Musili, and N. M. Kumar, Manoj Prakashan, Madras, 1991, pp. 407–440.

Mathematical Reviews (MathSciNet): MR92m:14068

Zentralblatt MATH: 0785.14031

[5] I. Shafarevich, Basic Algebraic Geometry, Springer-Verlag, Berlin, 1977.

Mathematical Reviews (MathSciNet): MR56:5538

Zentralblatt MATH: 0362.14001

[6]¹ H. Sumihiro, Equivariant completion, J. Math. Kyoto Univ. 14 (1974), 1–28.

Mathematical Reviews (MathSciNet): MR49:2732

Zentralblatt MATH: 0277.14008

Project Euclid: euclid.kjm/1250523277

[6]² H. Sumihiro, Equivariant completion. II, J. Math. Kyoto Univ. 15 (1975), no. 3, 573–605.

Mathematical Reviews (MathSciNet): MR52:8137

Zentralblatt MATH: 0331.14008

Project Euclid: euclid.kjm/1250523005

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