SPECIAL DETERMINANTS IN HIGHER-RANK BRILL–NOETHER THEORY

DOI10.1142/S0129167X13500845zbMath1287.14017arXiv1108.4968OpenAlexW2057958770MaRDI QIDQ5396077

Brian Osserman

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1108.4968

zbMATH Keywords

vector bundlesmultilinear formsBrill-Noether theoryspecial determinant

Mathematics Subject Classification ID

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

Related Items

Higher rank Brill—Noether theory and coherent systems open questions, Some examples of rank-2 Brill-Noether loci, Linked symplectic forms and limit linear series in rank 2 with special determinant, Nonemptiness of Brill–Noether loci in M(2,L), Brill-Noether loci on moduli spaces of symplectic bundles over curves, Expected dimensions of higher-rank Brill-Noether loci

Cites Work

• Curves and symmetric spaces. II.
• Brill-Noether theory for vector bundles of rank 2
• On coherent systems of type \((n, d, n+1)\) on Petri curves
• Isotropic subspaces for skewforms and maximal abelian subgroups of \(p\)-groups
• The maximal rank conjecture and rank two Brill-Noether theory
• ON AN EXAMPLE OF MUKAI
• Coherent Systems and Brill–Noether Theory
• ON THE GEOMETRY OF MODULI SPACES OF COHERENT SYSTEMS ON ALGEBRAIC CURVES
• Isotropic subspaces of polylinear forms