3 papers
math.AG2024
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)…
math.AG2023
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…
math.CV1997
Zeta-functions for germs of meromorphic functions and Newton diagrams
Sabir M. Gusein-Zade, Igancio Luengo, Alejandro Melle-Hernández
For a germ of a meromorphic function f=P/Q, we offer notions of the monodromy operators at zero and at infinity. If the holomorphic functions P and Q are non-degenerated with respe…