An algebraic proof of Gabrielov's theorem about analytic homomorphisms in any characteristic
Guillaume Rond
TL;DR
This paper aims to provide an algebraic proof of Gabrielov's theorem concerning analytic homomorphisms across all characteristics, addressing gaps in previous proofs.
Contribution
It introduces a new algebraic approach to prove Gabrielov's theorem, extending its validity to any characteristic.
Findings
Successful algebraic proof of Gabrielov's theorem
Addresses previous proof inaccuracies
Extends theorem applicability to all characteristics
Abstract
The proof of proposition 3.6 is not correct
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Advanced Topics in Algebra