Pedro Antonio Muniz Martins

activity

20232026

collaborators

5 papers

math.AG2026

On the atomic decomposition of complete intersection in flag varieties

Boris Alexeev, Leonardo F. Cavenaghi, Giovane Galindo +3

We develop a root-theoretic localization formalism for genus-zero Gromov--Witten invariants of flag varieties and of smooth zero loci of globally generated homogeneous vector bundl…

math.DG2026

On the generalized geometry of almost abelian solvmanifolds

Mauro de Andrade Pinto, Letícia Camponês do Brasil Maia, Leonardo F. Cavenaghi +1

We study left-invariant generalized complex structures on almost abelian Lie groups $G_{A}$ with Lie algebra $g_{A} = R e_{0} ⋉_{A} h$ , where $\mathfrak{h}…

hep-th2026

The Cohomology of Solvmanifold SYZ Mirrors

Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov +1

This paper investigates the geometric and cohomological properties of non-Kähler SYZ mirror symmetry for dual torus fibrations over solvmanifolds in the sense of Lau, Tseng and Yau…

math.AC2024

Separating symmetric polynomials over finite fields

Artem Lopatin, Pedro Antonio Muniz Martins, Lael Viana Lima

The set $S (n)$ of all elementary symmetric polynomials in $n$ variables is a minimal generating set for the algebra of symmetric polynomials in $n$ variables, but over a finite fie…

math.AC2023

Separating invariants for two-dimensional orthogonal groups over finite fields

Artem Lopatin, Pedro Antonio Muniz Martins

We described a minimal separating set for the algebra of $O (F_{q})$ -invariant polynomial functions of $m$ -tuples of two-dimensional vectors over a finite field $F_{q}$ .