On initialized and ACM line bundles over a smooth sextic surface in \mathbb P³

2022/02/01 by Debojyoti Bhattacharya, Bhattacharya, Debojyoti
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2202.00309

openalex publication_date 2022/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X ⊂ \mathbb P³ 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.

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• The classification of ACM line bundles on quartic hypersurfaces on P³
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