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分野別セミナー

A Hermite-Minkowski type theorem of varieties over finite fields

開催期間
2017-05-12 16:00~2017-05-12 17:00
場所
九州大学 伊都キャンパス ウエスト1号館 中講義室 W1-C-512
受講対象
 
講師
平之内 俊郎 (九州工業大学)

概要:
We show the finiteness of etale coverings of a variety over a finite field with given degree whose ramification bounded along an effective Cartier divisor. The proof is an application of P. Deligne’s theorem (H. Esnault and M. Kerz in Acta Math. Vietnam. 37:531-562, 2012) on a finiteness of l-adic sheaves with restricted ramification. By applying our result to a smooth curve over a finite field, one obtain a function field analogue of the classical Hermite-Minkowski theorem.