arXiv Open Access 2024

Galois theory of differential schemes

Ivan Tomašić Behrang Noohi

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Abstrak

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.

Topik & Kata Kunci

math.AG math.AC math.CT

Penulis (2)

Ivan Tomašić

Behrang Noohi

Format Sitasi

APA MLA BibTeX

Tomašić, I., Noohi, B. (2024). Galois theory of differential schemes. https://arxiv.org/abs/2407.21147

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓