The spectrum of torsion free sheaves on ℙ³ and applications

2019/03/11 by Charles Almeida, Almeida, Charles
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1903.04343

openalex publication_date 2019/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the spectrum of rank 2 torsion free sheaves on ℙ³ with aim of producing examples of distinct irreducible components of the moduli space with the same spetrcum answering the question presented by Rao for the case of torsion free sheaves. In order to do so, we provide a full description of the spectrum of the sheaves in the moduli space of semistable rank 2 torsion free sheaves on ℙ³ with Chern classes (c₁, c₂,c₃) equals to (-1,2,0) and (0,3,0).

Related

• The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface
• Desingularized moduli spaces of sheaves on a K3, II
• Rank two sheaves with maximal third Chern character in three-dimensional\n projective space
• A new non-reduced moduli component of rank 2 semistable sheaves on P3
• Stable toric sheaves. I : Chern classes