Additive group actions with finitely generated invariants
Deveney, James K. ; Finston, David R.
Osaka J. Math., Tome 44 (2007) no. 1, p. 91-98 / Harvested from Project Euclid
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Every locally trivial action of the additive group of complex numbers on a factorial affine variety has finitely generated ring of invariants. A criterion is given for such an action on complex four space to be conjugate to a translation. Restrictions on the nature of the singularities of the variety defined by the ring of invariants of triangular actions are noted.
Publié le : 2007-03-14
Classification:  13A50,  14L24 
@article{1174324324,
     author = {Deveney, James K. and Finston, David R.},
     title = {Additive group actions with finitely generated invariants},
     journal = {Osaka J. Math.},
     volume = {44},
     number = {1},
     year = {2007},
     pages = { 91-98},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1174324324}
}

Deveney, James K.; Finston, David R. Additive group actions with finitely generated invariants. Osaka J. Math., Tome 44 (2007) no. 1, pp.  91-98. http://gdmltest.u-ga.fr/item/1174324324/