The Gauss map of a projective foliation

2024/06/27 by Claudia R. Alcántara, Alcántara, Claudia R., Dominique Cerveau +3
Engineering · #Advanced Numerical Analysis Techniques #Structural Analysis and Optimization #Advanced Theoretical and Applied Studies in Material Sciences and Geometry

paper · pdf · doi:10.48550/arxiv.2406.19270

Abstract

In this paper, we study the Gauss map of a holomorphic codimension one foliation on the projective space ℙⁿ, n≥ 2, mainly the case n=3. Among other things, we will investigate the case where the Gauss map is birational.

Related

• Foliations with degenerate Gauss maps on \mathbb P⁴
• Codimension one foliations of degree three on projective spaces
• Dormant opers and Gauss maps in positive characteristic
• On Gauss maps in positive characteristic in view of images, fibers, and field extensions
• Branched pull-back components of the space of codimension 1 foliations on \mathbb Pⁿ