Irreducibility of moduli of vector bundles over a very general sextic Surface

2020/03/16 by Sarbeswar Pal, Pal, Sarbeswar
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2003.07036

openalex publication_date 2020/03/16 · openalex created_date 2020/03/23 · openalex updated_date 2026/07/28

Abstract

Let S be a very general smooth hypersurface of degree 6 in ℙ³. In this paper we will prove that the moduli space of μ-stable rank 2 torsion free sheaves with respect to hyperplane section having c₁ = O_S(1), with fixed c₂ ≥ 27 is irreducible.

Citations

• The irreducibility of the moduli space of stable vector bundles of rank 2 on a quintic in \pp³

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