Unramified covers of Galois covers of low genus curves
نویسندگان
چکیده
منابع مشابه
Unramified Covers of Galois Covers of Low Genus Curves
Let X → Y be a Galois covering of curves, where the genus of X is ≥ 2 and the genus of Y is ≤ 2. We prove that under certain hypotheses, X has an unramified cover that dominates a hyperelliptic curve; our results apply, for instance, to all tamely superelliptic curves. Combining this with a theorem of Bogomolov and Tschinkel shows that X has an unramified cover that dominates y = x − 1, if char...
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(1b) Question. For which pairs (C0,H) does a lift exist? Note that the lifting problem for C0 is formally smooth. However we will see that in general the lifting problem for (C0,H) can be obstructed; in some cases a lifting does not exist, in several cases ramification in R is needed to make a lifting possible. In order to have a positive answer to this question it suffices to consider the case...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2005
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2005.v12.n4.a3