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CODIMENSION ONE FOLIATIONS IN POSITIVE CHARACTERISTIC

Part of: Automorphic functions General commutative ring theory Differential algebra Singularities Complex spaces with a group of automorphisms

Published online by Cambridge University Press:  06 November 2023

Wodson Mendson  and
Jorge Vitório Pereira Open the ORCID record for Jorge Vitório Pereira [Opens in a new window]
Wodson Mendson
Affiliation:
IMPA, Estrada Dona Castorina, 110, Horto, 22460-320, Rio de Janeiro, Brasil (oliveirawodson@gmail.com)
Jorge Vitório Pereira*
Affiliation:
IMPA, Estrada Dona Castorina, 110, Horto, 22460-320, Rio de Janeiro, Brasil (oliveirawodson@gmail.com)
*
jvp@impa.br
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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.

Keywords

Holomorphic FoliationsFoliations in positive characteristic

MSC classification

Primary: 32M25: Complex vector fields 32S65: Singularities of holomorphic vector fields and foliations 13N15: Derivations 13A35: Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure

Information

Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 23 , Issue 4 , July 2024 , pp. 1705 - 1750
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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