Tangent cones to generalised theta divisors and generic injectivity of the theta map

DOI10.1112/S0010437X17007539zbMath1411.14038arXiv1610.03456WikidataQ122407411 ScholiaQ122407411MaRDI QIDQ4590951

George H. Hitching, Michael Hoff

Publication date: 21 November 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03456

zbMATH Keywords

vector bundlestheta mapgeneralised theta divisors

Mathematics Subject Classification ID

Determinantal varieties (14M12) Vector bundles on curves and their moduli (14H60) Special divisors on curves (gonality, Brill-Noether theory) (14H51) Deformations and infinitesimal methods in commutative ring theory (13D10) Infinitesimal methods in algebraic geometry (14B10) Torelli problem (14C34)

Related Items (4)

THE HYPERELLIPTIC THETA MAP AND OSCULATING PROJECTIONS ⋮ Nonemptiness and smoothness of twisted Brill-Noether loci ⋮ A Riemann–Kempf singularity theorem for higher rank Brill–Noether loci ⋮ Edge and Fano on nets of quadrics

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
• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• A note on the Petri loci
• Quadrics of rank four in the ideal of a canonical curve
• On coherent systems of type \((n, d, n+1)\) on Petri curves
• Stable curves and special divisors: Petri's conjecture
• Automorphisms of \(\det (X_{ij}):\) The group scheme approach
• On the geometry of a theorem of Riemann
• Moduli of vector bundles on a compact Riemann surface
• Sur une généralisation du groupe orthogonal à quatre variables
• Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta
• Rank four vector bundles without theta divisor over a curve of genus two
• Singularities of Brill-Noether loci for vector bundles on a curve
• Plücker forms and the theta map
• Brill-Noether Theory for stable vector bundles
• Coherent Systems and Brill–Noether Theory
• Gaussian maps, Gieseker-Petri loci and large theta-characteristics
• On the base locus of the generalized theta divisor
• Linear Sections of Determinantal Varieties
• Sections des fibrés vectoriels sur une courbe
• On linear series and a conjecture of D. C. Butler

This page was built for publication: Tangent cones to generalised theta divisors and generic injectivity of the theta map