7 citations · 25 across the 9 of their papers we have counts for
9 papers
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…
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…
Codimension one foliations on homogeneous varieties
Vladimiro Benedetti, Daniele Faenzi, Alan Muniz
The aim of this paper is to study codimension one foliations on rational homogeneous spaces, with a focus on the moduli space of foliations of low degree on Grassmannians and comin…
Holomorphic foliations of degree two and arbitrary dimension
Maurício 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…
Codimension one distributions of degree 2 on the three-dimensional projective space
Hugo Galeano, Marcos Jardim, Alan Muniz
We establish a full classification of degree codimension one distributions on according to invariants of their tangent sheaves.
Moduli of Distributions via Singular Schemes
Maurício Corrêa, Marcos Jardim, Alan Muniz
Let be a smooth projective variety. We show that the map that sends a codimension one distribution on to its singular scheme is a morphism from the moduli space of distribu…
On the moduli of logarithmic connections on elliptic curves
Thiago Fassarella, Frank Loray, Alan Muniz
We describe moduli spaces of logarithmic rank connections on elliptic curves with poles and generic residues. In particular, we generalize a previous work by the fir…
Foliations on the projective plane with finite group of symmetries
Alan Muniz, Rudy Rosas
Let denote a singular holomorphic foliation on having a finite automorphism group $\mbox{aut}(\mathcal{F})$. Fixed the degree of , we dete…
Polynomial bounds for automorphisms groups of foliations
Maurício Corrêa, Alan Muniz
Let be a foliated surface and a finite group of automorphisms of that preserves . We investigate invariant loci for and obtain upper bou…