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On Equivariant Vector Bundles on an Almost Homogeneous Variety

Published online by Cambridge University Press:  22 January 2016

Tamafumi Kaneyama*
Affiliation:
Nagoya University
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Let k be an algebraically closed field of arbitrary characteristic. Let T be an n-dimensional algebraic torus, i.e. T = Gm × · · · × Gm n-times), where Gm = Spec (k[t, t-1]) is the multiplicative group.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975

References

[1] Borel, ; Linear algebraic groups, Benjamin.Google Scholar
[2] Kempf, G. et al.; Toroidal embeddings I, Springer lecture Notes 339.Google Scholar
[3] Maruyama, M.; On a family of algebraic vector bundles, Number theory, Algebraic Geometry and commutative algebra, in honor of Akizuki, Y. (1973), 95146.Google Scholar
[4] Oda, T. and Miyake, K.; Almost homogeneous algebraic varieties under torus action, Manifolds Tokyo 1973, 373381, Proceedings of the International Conference on Manifolds and Related Topics in Topology, University of Tokyo Press.Google Scholar
[5] Miyanishi, M.; Some remarks on algebraic homogeneous vector bundles, Number theory, Algebraic Geometry and commutative algebra, in honor of Akizuki, Y. (1973), 7193.Google Scholar
[6] Sumihiro, H.; Equivariant completion, Journal of Math. Kyoto Univ. 14 (1974), 128.Google Scholar