Galois-theoretic characterization of geometric isomorphism classes of quasi-monodromically full hyperbolic curves with small numerical invariants
Journal of Algebra Volume 634
Page 480-511
published_at 2023-08-02
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| File | |
| Title ( eng ) |
Galois-theoretic characterization of geometric isomorphism classes of quasi-monodromically full hyperbolic curves with small numerical invariants
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| Creator |
Hoshi Yuichiro
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| Source Title |
Journal of Algebra
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| Volume | 634 |
| Start Page | 480 |
| End Page | 511 |
| Abstract |
Let l be a prime number. In the present paper, we prove that the geometric isomorphism class of a quasi-l-monodromically full hyperbolic curve with small numerical invariants over a sub-l-adic field is completely determined by the commensurability class of the kernel of the associated pro-l outer Galois action.
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| Keywords |
Hyperbolic curve
Outer Galois action
Quasi-monodromically full
Monodromically full
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
Elsevier
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| Date of Issued | 2023-08-02 |
| Rights |
© 2023. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/
This is not the published version. Please cite only the published version.
この論文は出版社版ではありません。引用の際には出版社版をご確認、ご利用ください。
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| Publish Type | Accepted Manuscript |
| Access Rights | embargoed access |
| Source Identifier |
[DOI] https://doi.org/10.1016/j.jalgebra.2023.07.026
isVersionOf
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| Remark | The full-text file will be made open to the public on 2 August 2025 in accordance with publisher's 'Terms and Conditions for Self-Archiving' |
