On initialized and ACM line bundles over a smooth sextic surface in $\mathbb P^3$

Debojyoti Bhattacharya

On initialized and ACM line bundles over a smooth sextic surface in $\mathbb P^3$

Algebraic Geometry 2022-02-02 v1

Authors: Debojyoti Bhattacharya

Abstract

Let $X \subset \mathbb P^3$ be a smooth hypersurface of degree $6$ over complex numbers. In this paper, we give a characterization of initialized and ACM bundles of rank $1$ on $X$ with respect to the line bundle given by a smooth hyperplane section of $X$ .

Keywords

smooth sextic surface line bundle acm bundle initialized bundle hyperplane section

Cite

@article{arxiv.2202.00309,
  title  = {On initialized and ACM line bundles over a smooth sextic surface in $\mathbb P^3$},
  author = {Debojyoti Bhattacharya},
  journal= {arXiv preprint arXiv:2202.00309},
  year   = {2022}
}

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