A refined Brill-Noether theory over Hurwitz spaces
From MaRDI portal
Publication:2030399
DOI10.1007/s00222-020-01023-zzbMath1477.14014arXiv1907.08597OpenAlexW3107295242MaRDI QIDQ2030399
Publication date: 7 June 2021
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.08597
Riemann-Roch theorems (14C40) Families, moduli of curves (algebraic) (14H10) Elliptic curves (14H52) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22) Subvarieties of abelian varieties (14K12)
Related Items (6)
Refined Brill-Noether theory for all trigonal curves ⋮ Linear series with \(\rho<0\) via thrifty Lego building ⋮ Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting) ⋮ A remark on very ample linear series. III ⋮ Tropical methods in Hurwitz-Brill-Noether theory ⋮ Principal bundles on metric graphs: the \(\operatorname{GL}_n\) case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A simple characteristic-free proof of the Brill-Noether theorem
- Brill-Noether varieties of \(k\)-gonal curves
- A simpler proof of the Gieseker-Petri theorem on special divisors
- Stable curves and special divisors: Petri's conjecture
- Limit linear series: Basic theory
- On the variety of special linear systems on a general algebraic curve
- On the connectedness of degeneracy loci and special divisors
- On the Kodaira dimension of the moduli space of curves
- Another proof of the existence of special divisors
- On the varieties of special divisors.
- Linear series on a general \(k\)-gonal curve
- Universal degeneracy classes for vector bundles on \(\mathbb{P}^1\) bundles
- Relative Beilinson monad and direct image for families of coherent sheaves
- A theorem of Gieseker-Petri type for Prym varieties
- Brill-Noether theory for curves of a fixed gonality
- On the Existence of Special Divisors
This page was built for publication: A refined Brill-Noether theory over Hurwitz spaces
