Geodesic
Equivariant Poincaré series and topology of valuations
Documenta mathematica, Tome 21 (2016), pp. 271-286
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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.
DOI : 10.4171/dm/533
Classification : 13A18, 14B05, 14R20, 16W70
Mots-clés : Poincaré series, finite group actions, plane valuations, equivariant topology 
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     author = {A. Campillo and F. Delgado and S.M. Gusein-Zade},
     title = {Equivariant {Poincar\'e} series and topology of valuations},
     journal = {Documenta mathematica},
     pages = {271--286},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/533},
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A. Campillo; F. Delgado; S.M. Gusein-Zade. Equivariant Poincaré series and topology of valuations. Documenta mathematica, Tome 21 (2016), pp. 271-286. doi: 10.4171/dm/533

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