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Some examples of ℂ* actions

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Group Actions and Vector Fields

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 956))

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List of References

  1. Bialynicki-Birula, A., Some theorems on actions of algebraic groups, Ann. of Math. 98 (1973), 480–497.

    Article  MathSciNet  MATH  Google Scholar 

  2. Bialynicki-Birula, A., On fixed points of torus actions on projective varieties, Bull. de l'Acad. Pol. des Sci. ser. des sciences math., astr., et phys. XXII (1974), 1097–1101.

    MathSciNet  MATH  Google Scholar 

  3. Bialynicki-Birula, A. and Sommese, A.J., Quotients by torus actions, to appear.

    Google Scholar 

  4. Bialynicki-Birula, A. and Sommese, A.J., On quotients by SL(2) actions, to appear.

    Google Scholar 

  5. Carrell, J.B. and Sommese, A.J., ℂ* Actions, Math. Scand. 43 (1978), 49–59.

    MathSciNet  MATH  Google Scholar 

  6. Carrell, J.B. and Sommese, A.J., Some topological aspects of ℂ* actions on compact Kaehler manifolds, Comment. Math. Helv. 54 (1979), 567–582.

    Article  MathSciNet  MATH  Google Scholar 

  7. Carrell, J.B. and Sommese, A.J., SL(2,ℂ) actions on compact Kaehler manifolds, to appear Trans. Amer. Math. Soc.

    Google Scholar 

  8. Fujiki, A., Fixed points of torus actions on compact Kaehler manifolds, Publ. RIMS, Kyoto Univ. 15 (1979), 797–826.

    Article  MathSciNet  MATH  Google Scholar 

  9. Hartshorne, R., Algebraic Geometry, Springer Verlag, New York (1977).

    Book  MATH  Google Scholar 

  10. Jurkiewicz, J., An example of algebraic torus action which determines a nonfilterable decomposition, Bull. de l'Acad. Pol. des Sci. ser. des sciences math., astr., et phys. XXIV (1976) 667–674.

    Google Scholar 

  11. Konarski, J., Decompositions of normal algebraic variaeties determined by an action of a one dimensional torus, Bull. de l'Acad. Pol. des Sci., ser. des sciences math. astr. et phys. XXVI (1978), 295–300.

    MathSciNet  MATH  Google Scholar 

  12. Koras, M., Actions of reductive groups, University of Warsaw doctoral thesis (1980).

    Google Scholar 

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James B. Carrell

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© 1982 Springer-Verlag

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Sommese, A.J. (1982). Some examples of ℂ* actions. In: Carrell, J.B. (eds) Group Actions and Vector Fields. Lecture Notes in Mathematics, vol 956. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101513

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  • DOI: https://doi.org/10.1007/BFb0101513

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  • Print ISBN: 978-3-540-11946-3

  • Online ISBN: 978-3-540-39528-7

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