特征三下属超椭圆曲线的双曲平凡性

Pub Date : 2019-01-01 DOI:10.2206/kyushujm.73.317
Yuichiro Hoshi
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引用次数: 1

摘要

本文讨论了特征三下超椭圆曲线的双曲平凡性。特别地,我们证明了在特征3中属小于或等于5的每一个超椭圆投影双曲曲线都是双曲普通的。
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HYPERBOLIC ORDINARINESS OF HYPERELLIPTIC CURVES OF LOWER GENUS IN CHARACTERISTIC THREE
— In the present paper, we discuss the hyperbolic ordinariness of hyperelliptic curves in characteristic three. In particular, we prove that every hyperelliptic projective hyperbolic curve of genus less than or equal to five in characteristic three is hyperbolically ordinary.
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