6 papers · 1 filter
Colengths of fractional ideals and Tjurina number of a reducible plane curve
Abramo Hefez, Marcelo Escudeiro Hernandes
In this work, we refine a formula for the Tjurina number of a reducible algebroid plane curve defined over obtained in the more general case of complete intersection cu…
Tjurina number of a local complete intersection curve
Abramo Hefez, Edison Marcavillaca Niño de Guzmán, Marcelo Escudeiro Hernandes +1
Differently from the Milnor number, no formula relating the Tjurina number of a reducible algebroid curve to invariants of its branches was known. The aim of this work is to provid…
On value sets of fractional ideals
Abramo Hefez, Edison Marcavillaca Niño de Guzmán
The aim of this work is to study duality of fractional ideals with respect to a fixed ideal and to investigate the relationship between value sets of pairs of dual ideals in admiss…
On the colength of fractional ideals
Edison Marcavillaca Niño de Guzmán, Abramo Hefez
The main result in this paper is to supply a recursive formula, on the number of minimal primes, for the colength of a fractional ideal in terms of the maximal points of the value…
Sets of values of fractional ideals of rings of algebroid curves
Abramo Hefez, Edison Marcavillaca Niño de Guzmán
The aim of this work is to study sets of values of fractional ideals of rings of algebroid curves and explore more deeply the symmetry that exists among sets of values of dual pair…
On Polars of Plane Branches
A. Hefez, M. E. Hernandes, M. F. H. Iglesias
It is well known that the equisingularity class of the general polar of a plane branch is not the same for all branches in a given equisingularity class, but it is the same for suf…