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Order one differential equations on nonisotrivial algebraic curves

2017/07/27 by Taylor Dupuy, James Freitag, Dupuy, Taylor +3
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Logic (math.LO) #Nonlinear Waves and Solitons #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1707.08714

openalex publication_date 2017/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we provide new examples of geometrically trivial strongly minimal differential algebraic varieties living on nonisotrivial curves over differentially closed fields of characteristic zero. Our technique involves developing a theory of Kodaira-Spencer forms and building connections to deformation theory. In our development, we answer several open questions posed by Rosen and some natural questions about Manin kernels.

Citations

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