3 papers
math.AG2026
Holomorphic foliations of degree two and arbitrary dimension
MaurÃcio Corrêa, Alan Muniz
We prove a complete classification of degree- foliations on in any dimension, assuming they are not algebraically integrable. If is such a foliation…
math.AG2025
On the minimal algebraic complexity of the rank-one approximation problem for general inner products
Khazhgali Kozhasov, Alan Muniz, Yang Qi +1
We study the algebraic complexity of Euclidean distance minimization from a generic tensor to a variety of rank-one tensors. The Euclidean Distance (ED) degree of the Segre-Verones…
math.AG2025
P-Forms from Syzygies
Alan Muniz
These notes aim to develop a tool for constructing polynomial differential -forms vanishing on prescribed loci through syzygies of homogeneous ideals. Examples are provided thro…