Foliations with degenerate Gauss maps on \mathbb P⁴

2008/09/16 by Thiago Fassarella, Fassarella, Thiago
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG

paper · pdf · doi:10.48550/arxiv.0809.2761

26 pages, 3 figures

arxiv created 2008/09/16 · openalex publication_date 2008/09/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a classification of codimension one holomorphic foliations on \mathbb P⁴ with degenerate Gauss maps.

Related

• The Gauss map of a projective foliation
• Branched pull-back components of the space of codimension 2 foliations on \mathbb P⁴
• Pull-back components of the space of foliations of codimension ≥2
• Branched pull-back components of the space of codimension 1 foliations on \mathbb Pⁿ
• Codimension two holomorphic foliations