Brill-Noether Theory for stable vector bundles

zbMath1187.14038arXiv0801.4740MaRDI QIDQ3562552

Iwona Grzegorczyk, Montserrat Teixidor i Bigas

Publication date: 27 May 2010

Full work available at URL: https://arxiv.org/abs/0801.4740

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (16)

Geometry of certain Brill-Noether locus on a very general sextic surface and Ulrich bundles ⋮ A NOTE ON RANK TWO STABLE BUNDLES OVER SURFACES ⋮ 25 open questions about vector bundles and their moduli ⋮ Nonemptiness and smoothness of twisted Brill-Noether loci ⋮ Non-emptiness of Brill-Noether loci over very general quintic hypersurface ⋮ Existence of vector bundles of rank two with fixed determinant and sections ⋮ Tangent cones to generalised theta divisors and generic injectivity of the theta map ⋮ Linked symplectic forms and limit linear series in rank 2 with special determinant ⋮ (t, ℓ)-STABILITY AND COHERENT SYSTEMS ⋮ Petri map for vector bundles near good bundles ⋮ A Riemann–Kempf singularity theorem for higher rank Brill–Noether loci ⋮ Injectivity of the Petri map for twisted Brill-Noether loci ⋮ Brill-Noether theory on Hirzebruch surfaces ⋮ Rank two bundles with canonical determinant and four sections ⋮ Brill-Noether loci on moduli spaces of symplectic bundles over curves ⋮ Bounds on the dimension of the Brill-Noether schemes of rank two bundles

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