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On the Singular Fibers of a Fibration Structure on Fermat Surfaces

Year: 2026
Type: article
Abstract: Let \(k\) be an algebraically closed field with positive characteristic \(p\) and let \(S\) be a Fermat surface of degree \(n\) over \(k\). We conduct a study on a fibration \(f: S \to \mathbb{P}^1_k\) and present the relationship between the smoothness of the general fiber of \(f\) and the characteristic \(p\).
Institution: Xiamen University
Language: English
Open Access status: diamond
OpenAlex ID: W7225610160
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Cites: 8
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