8 citations · 8 across the 4 of their papers we have counts for
8 papers
Computing the homology of universal covers via effective homology and discrete vector fields
Miguel Angel Marco-Buzunariz, Ana Romero
Effective homology techniques allow us to compute homology groups of a wide family of topological spaces. By the Whitehead tower method, this can also be used to compute higher hom…
A structural attack to the DME-(3,2,q) cryptosystem
Martin Avendano, Miguel A. Marco-Buzunariz
We present a structural attack on the DME cryptosystem with paramenters (3,2,q). The attack recovers 10 of the 12 coefficients of the first linear map. We also show that, if those…
Irreducibility of analytic arc-sections of hypersurface singularities
Miguel Angel Marco-Buzunariz, Maria Pe Pereira
We explore the existence of irreducible and reducible arc-sections in an irreducible hypersurface singularity germ along finite projections. In particular we provide examples of ir…
Heegaard splittings of graph manifolds
Enrique Artal Bartolo, Simón Isaza Peñaloza, Miguel Marco-BuzunÁriz
In this paper we give a method to construct Heegaard splittings of oriented graph manifolds with orientable bases. A graph manifold is a closed -manifold admitting only Seifert-…
An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group
E. Artal, J. I. Cogolludo-Agustín, B. Guerville-Ballé +1
In a previous work, the third named author found a combinatorics of line arrangements whose realizations live in the cyclotomic group of the fifth roots of unity and such that thei…
Isotropic subspaces of Orlik-Solomon algebras
Miguel A. Marco-Buzunariz
We give a combinatorial characterization of isotropic subspaces in the Orlik- Solomon algebra of a hyperplane arrangement in terms of decorations of its intersection lattice. We th…
Topology of hypersurface singularities with 3-dimensional critical set
Javier Fernandez de Bobadilla, Miguel Angel Marco-Buzunariz
In this paper, we prove that the Milnor fibre of a singularity over an i.c.i.s. of dimension 3 has the homotopy type of a bouquet of spheres, provided that the function that define…
Graded Betti Numbers of the Logarithmic Derivation Module
Miguel Ángel Marco-Buzunariz, Jorge Martín-Morales
Let $Q\in \K[x_1,...,x_n] = S$ be a homogeneous polynomial of degree . The freeness of the logarithmic derivation module, , and of its natural generalizations, has been wi…