On induced actions of algebraic groups

Andrzej Bialynicki-Birula

Annales de l'institut Fourier (1993)

  • Volume: 43, Issue: 2, page 365-368
  • ISSN: 0373-0956

Abstract

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In this paper we study the existence problem for products X × G Y in the categories of quasi-projective and algebraic varieties and also in the category of algebraic spaces.

How to cite

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Bialynicki-Birula, Andrzej. "On induced actions of algebraic groups." Annales de l'institut Fourier 43.2 (1993): 365-368. <http://eudml.org/doc/75000>.

@article{Bialynicki1993,
abstract = {In this paper we study the existence problem for products $X\times _GY$ in the categories of quasi-projective and algebraic varieties and also in the category of algebraic spaces.},
author = {Bialynicki-Birula, Andrzej},
journal = {Annales de l'institut Fourier},
keywords = {principal fiber bundles; actions of algebraic groups; existence problem for products; algebraic spaces},
language = {eng},
number = {2},
pages = {365-368},
publisher = {Association des Annales de l'Institut Fourier},
title = {On induced actions of algebraic groups},
url = {http://eudml.org/doc/75000},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Bialynicki-Birula, Andrzej
TI - On induced actions of algebraic groups
JO - Annales de l'institut Fourier
PY - 1993
PB - Association des Annales de l'Institut Fourier
VL - 43
IS - 2
SP - 365
EP - 368
AB - In this paper we study the existence problem for products $X\times _GY$ in the categories of quasi-projective and algebraic varieties and also in the category of algebraic spaces.
LA - eng
KW - principal fiber bundles; actions of algebraic groups; existence problem for products; algebraic spaces
UR - http://eudml.org/doc/75000
ER -

References

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  1. [H] H. HIRONAKA, An example of a non-kahlerian deformation, Ann. of Math., 75 (1962), 190-208. Zbl0107.16001MR25 #2618
  2. [K] D. KNUTSON, Algebraic spaces, Lecture Notes in Mathematics, 203, Springer-Verlag, 1971. Zbl0221.14001MR46 #1791
  3. [GIT] D. MUMFORD, J. FOGARTY, Geometric Invariant Theory, 2nd edition, Ergeb. Math. 36, Springer-Verlag, 1982. Zbl0504.14008
  4. [Se] J.-P. SERRE, Espaces fibrés algébriques in Anneaux de Chow et Applications, Séminaire Chevalley, E.N.S. Paris, 1958. 
  5. [Su] H. SUMIHIRO, Equivariant completions I, J. Math. Kyoto Univ., 14 (1974), 1-28. Zbl0277.14008MR49 #2732

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