On étale covers of curves
1999 ◽
Vol 127
(1)
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pp. 1-5
Keyword(s):
Let K be a number field with ring of integers R. For each integer g>1 we consider the collection of abelian, étale R-coverings f[ratio ]Y→X, where X and Y are connected proper curves over R and the genus of X is g. We ask the following question: is there a positive integer B = B(K, g) which bounds the degree of such coverings? In this note we provide partial results towards such a bound and study the relationship with bounds on torsion in abelian varieties.
2017 ◽
Vol 153
(2)
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pp. 373-394
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Keyword(s):
Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences
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1993 ◽
Vol 345
(1676)
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pp. 409-423
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Keyword(s):
2007 ◽
Vol 03
(04)
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pp. 541-556
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2016 ◽
Vol 102
(3)
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pp. 316-330
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1988 ◽
Vol 111
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pp. 165-171
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Keyword(s):
2019 ◽
Vol 19
(04)
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pp. 2050080
Keyword(s):
2004 ◽
Vol 187
(1-3)
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pp. 169-182
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