|Title:||GALOIS-THEORETIC CHARACTERIZATION OF ISOMORPHISM CLASSES OF MONODROMICALLY FULL HYPERBOLIC CURVES OF GENUS ZERO|
|Author's alias:||星, 裕一郎|
|Publisher:||Duke University Press|
|Journal title:||Nagoya Mathematical Journal|
|Abstract:||Let l be a prime number. In the present paper, we prove that the isomorphism class of an l-monodromically full hy-perbolic curve of genus zero over a finitely generated extension of the field of rational numbers is completely determined by the kernel of the natural pro-l outer Galois representation associated to the hyperbolic curve. This result can be regarded as a genus zero analogue of a result due to S. Mochizuki which asserts that the isomorphism class of an elliptic curve which does not admit complex multiplication over a number field is completely determined by the kernels of the natural Galois representations on the various finite quotients of its Tate module.|
|Rights:||© 2011 Duke University Press|
|Appears in Collections:||Journal Articles|
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