36 citations · 137 across the 74 of their papers we have counts for
76 papers · 1 filter
On a generalized Poincaré series of plane valuations
F. Delgado, S. M. Gusein-Zade
Earlier, there were defined two generalized (``motivic'') versions of the Poincaré series of a collection of plane valuations on the algebra of ger…
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…
Grothendieck ring of pairs of quasi-projective varieties
Sabir M. Gusein-Zade, Ignacio Luengo, Alejandro Melle-Hernández
We define a Grothendieck ring of pairs of complex quasi-projective varieties (that is a variety and a subvariety). We describe -structures and a power structure on/over this rin…