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Invariant rational forms for correspondences of curves

Saha, Arnab

Description

Text: We study the invariant rational 1-forms which correspondences of curves admit. We show that in the case of unequal degrees of the morphisms, the number of poles and zeroes of an invariant rational 1-forms is uniformly bounded. This bound is explicitly given in terms of the degrees of the morphisms and the genus of the curves and this bound is independent of the characteristic of the base field. This result is however not true in the case of equal degrees of the morphisms. In the case of...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/103337
Source: Journal of Number Theory
DOI: 10.1016/j.jnt.2014.03.019

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