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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.AG2023
On real analogues of the Poincaré series
A. Campillo, F. Delgado, S. M. Gusein-Zade
There exist several equivalent equations for the Poincaré series of a collection of valuations on the ring of germs of functions on a complex analytic variety. We give definitions…