7 citations · 12 across the 9 of their papers we have counts for
14 papers
Chern obstructions for collections of 1-forms on singular varieties
Wolfgang Ebeling, Sabir M. Gusein-Zade
We introduce a certain index of a collection of germs of 1-forms on a germ of a singular variety which is a generalization of the local Euler obstruction corresponding to Chern num…
Quadratic forms for a 1-form on an isolated complete intersection singularity
Wolfgang Ebeling, Sabir M. Gusein-Zade
We consider a holomorphic 1-form with an isolated zero on an isolated complete intersection singularity . We construct quadratic forms on an algebra of functions and on…
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…
Homological index for 1-forms and a Milnor number for isolated singularities
W. Ebeling, S. M. Gusein-Zade, J. Seade
We introduce a notion of a homological index of a holomorphic 1-form on a germ of a complex analytic variety with an isolated singularity, inspired by X. Gómez-Mont and G.-M. Greue…