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

DOI10.1080/00927872.2022.2084747OpenAlexW4283703635MaRDI QIDQ5038114

Debojyoti Bhattacharya

Publication date: 29 September 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.00309

zbMATH Keywords

curvegonality1-connectednessACM line bundlesextic hypersurfaceClifford-index

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Hypersurfaces and algebraic geometry (14J70)

Cites Work

• Unnamed Item
• The gonality and the Clifford index of curves on a toric surface
• Generalized divisors on Gorenstein curves and a theorem of Noether
• Cohen-Macaulay modules on hypersurface singularities. I
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• The characterization of aCM line bundles on quintic hypersurfaces in \(\mathbb{P}^3\)
• Geometry of certain Brill-Noether locus on a very general sextic surface and Ulrich bundles
• The \(h\)-vectors of arithmetically Gorenstein sets of points on a general sextic surface in \(\mathbb P^3\)
• ACM line bundles on elliptic ruled surfaces
• ACM line bundles on polarized \(K3\) surfaces
• The classification of ACM line bundles on quartic hypersurfaces in \(\mathbb P^3\)
• Rank two aCM bundles on general determinantal quartic surfaces in \(\mathbb {P}^{3}\)
• ACM bundles on cubic surfaces
• Rank 2 arithmetically Cohen-Macaulay bundles on a nonsingular cubic surface
• ACM bundles on del Pezzo surfaces
• Rank 2 arithmetically Cohen-Macaulay bundles on a general quintic surface
• Non-trivial Linear Systems on Smooth Plane Curves
• Vector Bundles on the Punctured Spectrum of a Local Ring

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