Galois theory of differential schemes Article Swipe

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YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2407.21147

Since 1883, Picard-Vessiot theory had been developed as the Galois theory of differential field extensions associated to linear differential equations. Inspired by categorical Galois theory of Janelidze, and by using novel methods of precategorical descent applied to algebraic-geometric situations, we develop a Galois theory that applies to morphisms of differential schemes, and vastly generalises the linear Picard-Vessiot theory, as well as the strongly normal theory of Kolchin.

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Differential (Mechanical Device)

Mathematics

Computer Science

Engineering

Aerospace Engineering

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Differential (mechanical device) Mathematics Computer science Engineering Aerospace engineering

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2407.21147
PDF: https://arxiv.org/pdf/2407.21147
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4402733315

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DOI: https://doi.org/10.48550/arxiv.2407.21147

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Title: Galois theory of differential schemes

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-07-30

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Authors: Ivan Tomašić, Behrang Noohi

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Landing page: https://arxiv.org/abs/2407.21147

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PDF URL: https://arxiv.org/pdf/2407.21147

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Concepts: Differential (mechanical device), Mathematics, Computer science, Engineering, Aerospace engineering

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Cited by: 0

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