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math.AG2006★ 1 cited
On the power structure over the Grothendieck ring of varieties and its applications
S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez
We discuss the notion of a power structure over a ring and the geometric description of the power structure over the Grothendieck ring of complex quasi-projective varieties and sho…
math.AG2006
On Poincare series of filtrations on equivariant functions of two variables
A. Campillo, F. Delgado, S. M. Gusein-Zade
Let a finite group act on the complex plane . We consider multi-index filtrations on the spaces of germs of holomorphic functions of two variables equivariant…
math.AG2006
Indices of vector fields and 1-forms on singular varieties
Wolfgang Ebeling, Sabir M. Gusein-Zade
We discuss different generalizations of the classical notion of the index of a singular point of a vector field to the case of vector fields or 1-forms on singular varieties, descr…