Nonemptiness and smoothness of twisted Brill-Noether loci
From MaRDI portal
Publication:2658538
DOI10.1007/s10231-020-01009-xzbMath1466.14042arXiv1804.01260OpenAlexW3037260475MaRDI QIDQ2658538
George H. Hitching, Michael Hoff, Harald Niederreiter
Publication date: 23 March 2021
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.01260
Vector bundles on curves and their moduli (14H60) Special divisors on curves (gonality, Brill-Noether theory) (14H51)
Related Items (5)
25 open questions about vector bundles and their moduli ⋮ Higher rank Brill—Noether theory and coherent systems open questions ⋮ A Riemann–Kempf singularity theorem for higher rank Brill–Noether loci ⋮ Brill-Noether loci on moduli spaces of symplectic bundles over curves ⋮ On translated rank-\(2\) Brill-Noether loci on regular surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Injectivity of the Petri map for twisted Brill-Noether loci
- Secant varieties and Hirschowitz bound on vector bundles over a curve
- A note on theta divisors of stable bundles
- On coherent systems of type \((n, d, n+1)\) on Petri curves
- A Riemann theorem for the theta divisors on moduli spaces of stable fibre bundles over a curve
- Deformations of the moduli space of vector bundles over an algebraic curve
- The Brill-Noether problem and the Teixidor theorem
- Counting maximal subbundles via Gromov-Witten invariants
- Petri map for vector bundles near good bundles
- Brill-Noether theory for stable vector bundles
- Maximal subbundles of rank two vector bundles on curves
- On the geometry of a theorem of Riemann
- On the base locus of the linear system of generalized theta functions
- Generalized theta linear series on moduli spaces of vector bundles on curves
- Singularities of Brill-Noether loci for vector bundles on a curve
- Existence of \alpha-stable coherent systems on algebraic curves
- Petri map for rank two bundles with canonical determinant
- Brill-Noether Theory for stable vector bundles
- Le probleme de Brill-Noether pour des fibres stables de petites pentes
- Geography of Brill-Noether loci for small slopes
- A stratification of the moduli space of vector bundles on curves
- Coherent Systems and Brill–Noether Theory
- Varieties of maximal line subbundles
- Tangent cones to generalised theta divisors and generic injectivity of the theta map
- Hecke curves and Hitchin discriminant
- On a conjecture of Lange
- On the base locus of the generalized theta divisor
- Sections des fibrés vectoriels sur une courbe
This page was built for publication: Nonemptiness and smoothness of twisted Brill-Noether loci