Article contents
ON THE TEMPERED FUNDAMENTAL GROUPS OF HYPERBOLIC CURVES OF GENUS
$0$ OVER
$\overline {\mathbb {Q}}_p$
Published online by Cambridge University Press: 01 June 2022
Abstract
Let p be a prime number. In the present paper, we prove that the moduli of hyperbolic curves of genus $0$ over an algebraic closure of the field of p-adic numbers may be completely determined by their tempered fundamental groups.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 6 , November 2023 , pp. 2833 - 2856
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20231011174340993-0672:S147474802200024X:S147474802200024X_inline576.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20231011174340993-0672:S147474802200024X:S147474802200024X_inline577.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20231011174340993-0672:S147474802200024X:S147474802200024X_inline578.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20231011174340993-0672:S147474802200024X:S147474802200024X_inline579.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20231011174340993-0672:S147474802200024X:S147474802200024X_inline580.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20231011174340993-0672:S147474802200024X:S147474802200024X_inline581.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20231011174340993-0672:S147474802200024X:S147474802200024X_inline582.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20231011174340993-0672:S147474802200024X:S147474802200024X_inline583.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20231011174340993-0672:S147474802200024X:S147474802200024X_inline584.png?pub-status=live)
- 1
- Cited by