CONSTANCY of NEWTON POLYGONS OF-ISOCRYSTALS on ABELIAN VARIETIES and ISOTRIVIALITY of FAMILIES of CURVES

Nobuo Tsuzuki

研究成果: Article査読

抄録

We prove constancy of Newton polygons of all convergent-isocrystals on Abelian varieties over finite fields. Applying the constancy, we prove the isotriviality of proper smooth families of curves over Abelian varieties. More generally, we prove the isotriviality over projective smooth varieties on which any convergent-isocrystal has constant Newton polygons.

本文言語English
ページ(範囲)587-625
ページ数39
ジャーナルJournal of the Institute of Mathematics of Jussieu
20
2
DOI
出版ステータスPublished - 2021 3

ASJC Scopus subject areas

  • 数学 (全般)

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