Geodesic
Equivariant Poincaré series and topology of valuations
Documenta mathematica, Tome 21 (2016), pp. 271-286.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The equivariant with respect to a finite group action Poincaré series of a collection of $r$ valuations was defined earlier as a power series in $r$ variables with the coefficients from a modification of the Burnside ring of the group. Here we show that (modulo simple exceptions) the equivariant Poincaré series determines the equivariant topology of the collection of valuations.
Classification : 14B05, 13A18, 14R20, 16W70
Keywords: finite group actions, Poincaré series, plane valuations, equivariant topology 
@article{DOCMA_2016__21__a35,
     author = {Campillo, A. and Delgado, F. and Gusein-Zade, S.M.},
     title = {Equivariant {Poincar\'e} series and topology of valuations},
     journal = {Documenta mathematica},
     pages = {271--286},
     publisher = {mathdoc},
     volume = {21},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a35/}
}
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Campillo, A.; Delgado, F.; Gusein-Zade, S.M. Equivariant Poincaré series and topology of valuations. Documenta mathematica, Tome 21 (2016), pp. 271-286. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a35/