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A pathological example of an action of k*

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

Keywords

  • Linear Action
  • Convex Polyhedral Cone
  • Projective Normal Variety
  • Open Affine
  • Toroidal Embedding

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References

  1. A. Bialynicki-Birula, Some properties of the decompositions of algebraic varieties determined by actions of a torus, Bull. Acad. Polon. Sci. Ser. Sci. Math., Astr. et Phys. 24 (1976).

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

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  3. J. Jurkiewicz, An example of an algebraic torus action which determines the nonfiltrable decomposition, Bull. Acad. Pol. Sci. Ser. Sci. Math., Astr. et Phys. 25 (1977), 1089–1092.

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  4. G. Kempf, F. Knudsen, D. Mumford, B. Saint-Donat, Toroidal Embeddings I, Springer-Verlag, Lecture Notes in Mathematics, 339.

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  5. J. Konarski, Decompositions of normal algebraic varieties determined by an action of a one-dimensional torus, Bull. Acad. Pol. Sci. Ser. Sci. Math., Astr. et Phys., 26 (1978), 295–300.

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

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© 1982 Springer-Verlag

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Konarski, J. (1982). A pathological example of an action of k*. In: Carrell, J.B. (eds) Group Actions and Vector Fields. Lecture Notes in Mathematics, vol 956. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101509

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  • DOI: https://doi.org/10.1007/BFb0101509

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11946-3

  • Online ISBN: 978-3-540-39528-7

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