Grothendieck-Katz conjecture

Hossein Movasati

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arXiv · 2403.11829

Grothendieck-Katz conjecture

Hossein Movasati

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Abstract

In this article we prove that linear differential equations with only algebraic solutions have zero $m$-curvature modulo $p^k$ for all except a finite number of primes $p$ and all $k,m\in\mathbb N$ with ${\rm ord}_pm!\geq k$. This provides us with a reformulation of Grothendieck-Katz conjecture with stronger hypothesis.

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Hossein Movasati. 2024-03-18. Grothendieck-Katz conjecture. https://arxiv.org/abs/2403.11829

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