References
A. Ash,D. Mumford,M. Rapoport, Y, Tai, Smooth Compactification of Locally Symmetric varieties. Math. Sci. Press 1975.
M. F. Atiyah, Angular Momentum, Convex Polyhedra and Algebraic Geometry. Proceedings of the Edinbourgh Math. Society (1983) 26, 121–138.
D. N. Bernstein, The number of roots of a system of equations. Funct. Anal. Appl. 9 (1976), 183–185.
V. I. Danilov, The Geometry of Toric Varieties. Uspekhi Mat. Nauk 33 (1978), 85–134. Russian Math. Surveys 33 (1978), 97-154.
V. I. Danilov, Birational Geometry of Toric 3-Folds. Math. Uss R Izvestiya 21 (1983) 269–280.
M. Demazure, Sous-groupes algébraiques de rang maximum du groupe de Cremona, Ann. Sci. Ecole Norm. Sup (4) 3 (1970), 507–588.
F. Ehlers, Eine Klasse komplexer Mannigfaltigkeiten und die Auflösung einiger isolierter Singularitäten. Math. Ann. 218 (1975), 127–156.
G. Ewald, Spherical Complexes and Nonprojective Toric Varieties. Discrete & Computational Geometry 1 (1986), 115–122.
G. Kempf,F. Knudson,D. Mumford,B. Saint-Donat, Toroidal Embeddings I. Lecture Notes in Math. Springer 1973.
T. Mabuchi, Einstein-Kähler-Forms, Futaki-Invariants and Convex Geometry on Toric Fano Varieties. To appear.
T. Oda, Torus Embeddings and Applications. Tata Institute, Bombay 1978.
T. Oda, K. Miyake, Almost homogeneous algebraic varieties under algebraic torus action. Manifolds. Tokyo 1973 (Hattori, ed.) Univ. of Tokyo Press 1975, 373–381.
H. Rademacher, Lectures on Elementary Number Theory, New York 1964.
R. P. Stanley, The number of faces of a simplicial convex polytope, Adv. in Math. 35 (1980), 236–238.
B. Teissier, Bonnesen-Type Inequalities in Algebraic Geometry I: Introduction to the problem. Seminar on Differential Geometry. Princeton Univ. Press 1982, 85–105.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ewald, G. Blow-ups of Smooth Toric 3-Varieties Werner Burau to his 80th birthday. Abh.Math.Semin.Univ.Hambg. 57, 193–201 (1987). https://doi.org/10.1007/BF02941610
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02941610