A note on the ring of invariant jet differentials
Mohammad Reza Rahmati
TL;DR
This paper discusses the finite generation of fiber rings of invariant jet differentials in complex projective manifolds, employing differential Galois theory to explore their algebraic structure.
Contribution
It introduces a novel approach using differential Galois theory to analyze the finite generation of invariant jet differential rings.
Findings
Finite generation of fiber rings established under certain conditions
Application of differential Galois theory to invariant jet differentials
Provides insights into algebraic structure of jet differential rings
Abstract
In this article we briefly discuss the finite generation of fiber rings of invariant k-jets of holomorphic curves in a complex projective manifold, using differential Galois theory.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory