3 papers
math.AG2026
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
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…
math.AG2025
Abhyankar-Moh Semigroups for arbitrary hypersurfaces
Fuensanta Aroca, Annel Ayala, Giovanna Ilardi +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…