CLIFFORD'S THEOREM AND HIGHER RANK VECTOR BUNDLES

DOI10.1142/S0129167X02001484zbMath1068.14039OpenAlexW2087307934MaRDI QIDQ4807421

V. Mercat

Publication date: 18 May 2003

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

Full work available at URL: https://doi.org/10.1142/s0129167x02001484

zbMATH Keywords

Clifford indexglobal sections

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60)

Related Items (21)

ON AN EXAMPLE OF MUKAI ⋮ Counterexamples to Mercat's conjecture ⋮ HIGHER RANK BRILL–NOETHER THEORY ON SECTIONS OF K3 SURFACES ⋮ Higher rank BN-theory for curves of genus 5 ⋮ An effective restriction theorem via wall-crossing and Mercat's conjecture ⋮ 25 open questions about vector bundles and their moduli ⋮ Higher rank Brill—Noether theory and coherent systems open questions ⋮ Scroll codes over curves of higher genus ⋮ Calculating and drawing Belyi pairs ⋮ The critical \(Z\)-invariant Ising model via dimers: Locality property ⋮ Scroll codes over curves of higher genus: reducible and superstable vector bundles ⋮ Some examples of rank-2 Brill-Noether loci ⋮ On bundles of rank 3 computing Clifford indices ⋮ Bundles of rank 3 on curves of Clifford index 3 ⋮ Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere ⋮ Ulrich sheaves and higher-rank Brill-Noether theory ⋮ Higher rank Clifford indices of curves on a \(K3\) surface ⋮ Coherent Systems and Brill–Noether Theory ⋮ On stability conditions for the quintic threefold ⋮ STABLE BUNDLES OF RANK 2 WITH FOUR SECTIONS ⋮ Vector Bundles of Rank 2 Computing Clifford Indices

Cites Work

• On the Wahl map of curves with Brill-Noether-Petri condition
• Primitive linear series on curves
• FIBRÉS STABLES DE PENTE 2
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• Brill–Noether theory for vector bundles on projective curves
• Multiplication of sections and clifford bounds for stable vector bundles on curves
• NONEMPTINESS OF BRILL–NOETHER LOCI

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