The Mercat Conjecture for stable rank 2 vector bundles on generic curves

DOI10.1353/ajm.2018.0031zbMath1401.14161arXiv1511.03253OpenAlexW2962775261WikidataQ123233139 ScholiaQ123233139MaRDI QIDQ4962229

Benjamin Bakker, Gavril Farkas

Publication date: 30 October 2018

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

Full work available at URL: https://arxiv.org/abs/1511.03253

zbMATH Keywords

Clifford indexvector bundles on curvessemistable vector bundleBrill-Noether theory for vector bundles

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60)

Related Items (8)

Counterexamples to Mercat's conjecture ⋮ 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 ⋮ Some examples of rank-2 Brill-Noether loci ⋮ Koszul modules with vanishing resonance in algebraic geometry ⋮ Generated coherent systems and a conjecture of D. C. Butler ⋮ Higher rank Clifford indices of curves on a \(K3\) surface

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