Foliation adjunction
Paolo Cascini, Calum Spicer
TL;DR
This paper introduces an adjunction formula for foliations on varieties and explores its applications to the cone theorem and foliation singularities, advancing the understanding of foliation geometry.
Contribution
It provides a new adjunction formula for foliations and applies it to key problems like the cone theorem and singularity analysis.
Findings
Derived an adjunction formula for foliations on varieties
Applied the formula to the cone theorem for rank one foliations
Studied implications for foliation singularities
Abstract
We present an adjunction formula for foliations on varieties and we consider applications of the adjunction formula to the cone theorem for rank one foliations and the study of foliation singularities.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory · Polynomial and algebraic computation