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

Sarbeswar Pal

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

Algebraic Geometry 2024-01-11 v2

Authors: Sarbeswar Pal

Abstract

Let $S$ be a very general smooth hypersurface of degree $6$ in $\mathbb{P}^3$ . In this paper we will prove that the moduli space of $\mu$ -stable rank $2$ torsion free sheaves with respect to hyperplane section having $c_1 = \mathcal{O}_S(1)$ , with fixed $c_2 \ge 27$ is irreducible.

Keywords

moduli space vector bundles very general sextic surface mu-stable sheaves irreducibility chern classes

Cite

@article{arxiv.2003.07036,
  title  = {Irreducibility of moduli of vector bundles over a very general sextic Surface},
  author = {Sarbeswar Pal},
  journal= {arXiv preprint arXiv:2003.07036},
  year   = {2024}
}

Comments

comments are welcome. arXiv admin note: text overlap with arXiv:1302.3736 by other authors

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