7 citations · 17 across the 15 of their papers we have counts for
3 papers · 1 filter
Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points
Sabir M. Gusein-Zade, Ignacio Luengo, Alejandro Melle-Hernandez
The power structure over the Grothendieck (semi)ring of complex quasi-projective varieties constructed by the authors is used to express the generating series of classes of Hilbert…
Integration over spaces of non-parametrized arcs and motivic versions of the monodromy zeta function
Sabir M. Gusein-Zade, Ignacio Luengo, Alejandro Melle-Hernandez
We elaborate notions of integration over the space of arcs factorized by the natural -action and over the space of non-parametrized arcs (branches). There are offered two moti…
Multi-index filtrations and motivic Poincare series
Antonio Campillo, Felix Delgado, Sabir M. Gusein-Zade
The Poincare series of a multi-index filtration on the ring of germs of functions can be written as a certain integral with respect to the Euler characteristic over the projectiviz…