3 papers
math.AG2025
Normalization of Puiseux Hypersurfaces
Fuensanta Aroca, Annel Ayala, Oscar Castañón +3
It is known that the normalization of a quasi-ordinary complex singularity is a Hirzebruch-Jung, see [Gon00; Pop04; AS05]. We extend this result to Puiseux hypersurfaces. Moreover,…
math.AG2025
Abhyankar-Moh Semigroups for arbitrary hypersurfaces
Fuensanta Aroca, Annel Ayala, Oscar Castañon +1
For an arbitrary hypersurface singularity, we construct a family of semigroups associated with algebraically closed fields that arise as an infinite union of rings of series. These…
math.AG2023
Infinite matroids in tropical differential algebra
F. Aroca, L. Bossinger, S. Falkensteiner +3
We consider a finite-dimensional vector space over an arbitrary field and an arbitrary set . We show that the set consisting of the minimal…