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3 papers · 2 filters
On rational cuspidal projective plane curves
J. Fernández de Bobadilla, I. Luengo-Velasco, A. Melle-Hernández +1
In the open problem of classification of rational cuspidal plane curves it is essential to find good necessary conditions on the type of singularities of a curve C in order C to ex…
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…