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Title: Galois-theoretic Characterization of Geometric Isomorphism Classes of Quasi-monodromically Full Hyperbolic Curves with Small Numerical Invariants
Authors: HOSHI, Yuichiro
Keywords: 14H30
hyperbolic curve
outer Galois action
quasimonodromically full
monodromically full
Issue Date: Dec-2021
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Start page: 1
End page: 30
Thesis number: RIMS-1954
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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