Smooth contractible threefolds with hyperbolic Gm-actions via polyhedral divisors

Smooth contractible threefolds with hyperbolic Gm-actions via polyhedral divisors

The aim of this note is to give an alternative proof of the Theorem 4.1 of Koras and Russell (J Algebr Geom 6(4): 671–695, 1997 ), that is, a characterization of smooth contractible affine varieties endowed with a hyperbolic action of the group G m ≃ C * , using the language of polyhedral divisors d...

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Veröffentlicht in:Manuscripta mathematica 2018-07, Vol.156 (3-4), p.399-408
1. Verfasser: Petitjean, Charlie
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
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Zusammenfassung:The aim of this note is to give an alternative proof of the Theorem 4.1 of Koras and Russell (J Algebr Geom 6(4): 671–695, 1997 ), that is, a characterization of smooth contractible affine varieties endowed with a hyperbolic action of the group G m ≃ C * , using the language of polyhedral divisors developed in Altmann and Hausen (Math Ann 334:557–607, 2006 ) as generalization of Q -divisors.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-017-0972-1