19 citations · 67 across the 23 of their papers we have counts for
6 papers · 1 filter
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…
Some geometric aspects of Puiseux surfaces
Jose M. Tornero
The following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that is, an algebroid embedded surface admitting an equation whos…
Equimultiple locus of embedded algebroid surfaces and blowing--up in arbitrary characteristic
R. Piedra, Jose M. Tornero
This paper extends previous results of the authors, concerning the behaviour of the equimultiple locus of algebroid surfaces under blowing--up, to arbitrary characteristic.
Equimultiple locus of embedded algebroid surfaces and blowing--up in characteristic zero
R. Piedra, Jose M. Tornero
The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution process, both classical and modern. In this paper we explore how it changes by blo…
Computing the rational torsion of an elliptic curve using Tate normal form
I. García, M. A. Olalla Acosta, J. M. Tornero
It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (, or n = 12) lie in a one-parameter family. However, t…