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- Max Planck Institute of Quantum OpticsDE3 papers
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- Argonne National LaboratoryUS1 paper
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5 papers · 1 filter
Low codimension Fano--Enriques threefolds
Jorge Caravantes
In this paper we study Fano threefolds with a torsion divisor (Fano--Enriques). Due to this torsion divisor, they can be described as quotients of Fano threefolds by a finite abeli…
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…
Links and analytic invariants of superisolated singularities
I. Luengo-Velasco, A. Melle-Hernandez, A. Nemethi
By using superisolated surface singularities whose link is a rational homology sphere we give counterexamples to some of the most important conjetures concernig invariants of norma…