6 citations · 6 across the 4 of their papers we have counts for
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Blurred combinatorics in resolution of singularities: (a little) beyond the characteristic polytope
Helena Cobo, M. J. Soto, José M. Tornero
We introduce a variation of the well-known Newton-Hironaka polytope for algebroid hypersurfaces. This combinatorial object is a perturbed version of the original one, parametrized…
Combinatorics and their evolution in resolution of embedded algebroid surfaces
Helena Cobo, M. J. Soto, José M. Tornero
The seminal concept of characteristic polygon of an embedded algebroid surface, first developed by Hironaka, seems well suited for combinatorially (perhaps even effectively) tracki…
Jet schemes of quasi-ordinary surface singularities
Helena Cobo, Hussein Mourtada
In this paper we give a complete description of the irreducible components of the jet schemes (with origin in the singular locus) of a two-dimensional quasi-ordinary hypersurface s…
On the structure of the fibers of truncation morphisms
Helena Cobo Pablos, Dirk Segers
Let k be an algebraically closed field and let X be a separated scheme of finite type over k of pure dimension d. We study the structure of the fibres of the truncation morphisms f…