On the surjectivity of Wahl maps on a general curve

1993/02/09 by Roberto Paoletti, Paoletti, Roberto
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Mathematics and Applications #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9302002

18 pages amstex

arxiv created 1993/02/09 · openalex publication_date 1993/02/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper explores the geometric meaning of the failure of certain kinds of Wahl maps to surject on a general curve. Sufficient conditions for surjectivity are given. An approach used by Voisin to study canonical Wahl maps is applied in this direction.

Related

• About the surjectivity of the Wahl map of nodal curves on K3 surfaces
• Hyperplane sections of abelian surfaces
• The Wahl map of one-nodal curves on K3 surfaces
• On the second gaussian map for curves on a K3 surface
• Rank two vector bundles on polarised Halphen surfaces and the Gauss-Wahl\n map for du Val curves