4 papers
Poincaré series of valuations on functions over a field
Antonio Campillo, Felix Delgado, Sabir Gusein-Zade
For a subfield $\K$ of the field $\C$ of complex numbers, we consider curve and divisorial valuations on the algebra $\K[[x,y]]$ of formal power series in two variables with the co…
Real Poincaré series of a plane divisorial valuation
Antonio Campillo, Félix Delgado, Sabir M. Gusein-Zade
Earlier, there was computed the Poincaré series of a valuation or of a collection of valuations on the ring of germs of holomorphic functions in two variables. For a collection of…
On the universal and generalized orbifold Euler characteristics
Sabir M. Gusein-Zade, Ignacio Luengo, Alejandro Melle-Hernández +1
We discuss the universal orbifold Euler characteristic and generalized orbifold Euler characteristics corresponding to finitely generated groups (the -Euler characteristics)…
Tamanoi equation for orbifold Euler characteristics: revisited
Sabir M. Gusein-Zade
Tamanoi equation is a Macdonald type equation for the orbifold Euler characteristic and for its analogues of higher orders. It claims that the generating series of the orbifold Eul…