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Preprint Number 2481

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2481. Taylor Dupuy and James Freitag
Order one differential equations on nonisotrivial algebraic curves
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Submission date: 5 September

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.

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Full text arXiv 2309.02327: pdf, ps.


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