Finiteness of Isomorphism Classes of Hyperbolic Polycurves with Prescribed Fundamental Groups
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- Koichiro Sawada
- Department of Mathematics, Osaka University, Osaka 560-0043, Japan
Abstract
<jats:title>Abstract</jats:title><jats:p>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.</jats:p>
Journal
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- International Mathematics Research Notices
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International Mathematics Research Notices 2022 (9), 6608-6626, 2020-12-11
Oxford University Press (OUP)
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Keywords
Details 詳細情報について
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- CRID
- 1360572092367307392
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- ISSN
- 16870247
- 10737928
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- Data Source
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- Crossref
- KAKEN