2022年5月
Finiteness of Isomorphism Classes of Hyperbolic Polycurves with Prescribed Fundamental Groups
International Mathematics Research Notices
- 巻
- 2022
- 号
- 9
- 開始ページ
- 6608
- 終了ページ
- 6626
- 記述言語
- 掲載種別
- 研究論文（学術雑誌）
- DOI
- 10.1093/imrn/rnaa299
- 出版者・発行元
- Oxford University Press (OUP)
Abstract
In the present paper, we show that there are at most finitely many isomorphism classes of hyperbolic polycurves (i.e., successive extensions of families of hyperbolic curves) over certain types of fields whose étale fundamental group is isomorphic to a prescribed profinite group.
In the present paper, we show that there are at most finitely many isomorphism classes of hyperbolic polycurves (i.e., successive extensions of families of hyperbolic curves) over certain types of fields whose étale fundamental group is isomorphic to a prescribed profinite group.
- リンク情報
- ID情報
-
- DOI : 10.1093/imrn/rnaa299
- ISSN : 1073-7928
- eISSN : 1687-0247