Codimension one foliations in positive characteristic
Wodson Mendson, Jorge Vit\'orio Pereira
TL;DR
This paper explores the geometry of codimension one foliations on smooth projective varieties over fields of positive characteristic, aiming to understand their structure and implications for holomorphic foliations on projective manifolds.
Contribution
It provides new insights into the structure of codimension one foliations in positive characteristic and connects these findings to holomorphic foliations on complex projective manifolds.
Findings
Characterization of foliations in positive characteristic
Connections to holomorphic foliations on projective manifolds
Structural results on foliations in algebraic geometry
Abstract
We investigate the geometry of codimension one foliations on smooth projective varieties defined over fields of positive characteristic with an eye toward applications to the structure of codimension one holomorphic foliations on projective manifolds.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Advanced Algebra and Geometry