STABLE BUNDLES OF RANK 2 WITH FOUR SECTIONS

DOI10.1142/S0129167X11007434zbMath1237.14041arXiv1006.1258OpenAlexW3103365664MaRDI QIDQ3110902

V. Mercat, Iwona Grzegorczyk, Harald Niederreiter

Publication date: 16 January 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1258

zbMATH Keywords

Clifford indexcoherent systemsstable bundlesBrill-Noether lociprojective algebraic curve

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (5)

HIGHER RANK BRILL–NOETHER THEORY ON SECTIONS OF K3 SURFACES ⋮ Higher rank Brill—Noether theory and coherent systems open questions ⋮ Generated coherent systems and a conjecture of D. C. Butler ⋮ Nonemptiness of Brill–Noether loci in M(2,L) ⋮ Vector Bundles of Rank 2 Computing Clifford Indices

Cites Work

• Brill-Noether-Petri without degenerations
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• The Jacobian algebra of a graded Gorenstein singularity
• On the Wahl map of curves with Brill-Noether-Petri condition
• The Brill-Noether problem and the Teixidor theorem
• The maximal rank conjecture and rank two Brill-Noether theory
• Further examples of stable bundles of rank 2 with 4 sections
• Maximal subbundles of rank two vector bundles on curves
• Clifford Indices for Vector Bundles on Curves
• NON-EMPTINESS OF MODULI SPACES OF COHERENT SYSTEMS
• Multiplication of sections and clifford bounds for stable vector bundles on curves
• Coherent Systems and Brill–Noether Theory
• Effective divisors on \overline{ℳ}_{ℊ}, curves on 𝒦3 surfaces, and the slope conjecture
• CLIFFORD'S THEOREM AND HIGHER RANK VECTOR BUNDLES

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