Bivià-Ausina, Carles; Montaño, Jonathan(Cambridge University Press, 2022-03)
[EN] We relate the analytic spread of a module expressed as the direct sum of two submodules with the analytic spread of its components. We also study a class of submodules whose integral closure can be expressed in terms ...
We study the Lojasiewicz exponent and the log canonical threshold of ideals of O-n when restricted to generic subspaces of C-n of different dimensions. We obtain effective formulas of the resulting numbers for ideals with ...
Bivià-Ausina, Carles; Huarcaya, Jorge Alberto C.(Springer-Verlag, 2017-04)
[EN] Let F : C-n -> C-n be a polynomial map such that F-1 (0) is finite. We analyze the connections between the multiplicity of F, the Newton polyhedron of F and the set of special monomials with respect to F, which is a ...