C. Almeida

activity

20162026

most citedIrreducible components of the moduli space of rank 2 sheaves of odd determinant on the projective space

10 citations · 22 across the 8 of their papers we have counts for

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8 papers · 1 filter

math.AG2026

The moduli space of torsion-free sheaves with quasi-maximal third Chern class

Charles Almeida, Marcos Jardim, Leonardo Oliveira

In this paper, we investigate the geometry of the Gieseker moduli space of semistable rank $2$ torsion-free sheaves on $P^{3}$ with Chern classes $(c_1, c_2, c_3) = (-1, c_2…

math.AG2025

Splitting of supervector bundles on projective superspaces

Charles Almeida, Ugo Bruzzo

We provide a splitting criterion for supervector bundles over the projective superspaces $P^{n ∣ m}$ . More precisely, we prove that a rank $p ∣ q$ supervector bundle on $\math…

math.AG2023

On higher Jacobians, Laplace equations and Lefschetz properties

Charles Almeida, Aline V. Andrade, Rodrigo Gondim

Let $A$ be a standard graded $K$ -algebra of finite type over an algebraically closed field of characteristic zero. We use apolarity to construct, for each degree $k$ , a pr…

math.AG2019

The spectrum of torsion free sheaves on $P^{3}$ and applications

Charles Almeida

We study the spectrum of rank $2$ torsion free sheaves on $P^{3}$ with aim of producing examples of distinct irreducible components of the moduli space with the same spetrcu…

math.AG2019★ 10 cited

Irreducible components of the moduli space of rank 2 sheaves of odd determinant on the projective space

Charles Almeida, Marcos Jardim, Alexander S. Tikhomirov

We describe new irreducible components of the moduli space of rank $2$ semistable torsion free sheaves on the three-dimensional projective space whose generic point corresponds to…

math.AG2017★ 3 cited

Lefschetz property and powers of linear forms in $K [x, y, z]$

Charles Almeida, Aline V. Andrade

In [9], Migliore, Miró-Roig and Nagel, proved that if $R = K [x, y, z]$ , where $K$ is a field of characteristic zero, and $I = (L_{1}^{a_{1}}, \dots, L_{r}^{a_{4}})$ is an ideal…

math.AG2017★ 9 cited

New moduli components of rank 2 bundles on projective space

Charles Almeida, Marcos Jardim, Alexander Tikhomirov +1

We present a new family of monads whose cohomology is a stable rank two vector bundle on $P^{3}$ . We also study the irreducibility and smoothness together with a geometrical…

math.AG2016

New families of rank 2 bundles on projective space

Charles Almeida, Marcos Jardim

We present a new family of monads whose cohomology is a stable rank two vector bundle on $\PP$. We also study the irreducibility and smoothness together with a geometrical descript…