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The behavior on fundamental group of a free pro-homotopy equivalence II

✍ Scribed by Jerzy Dydak; Ross Geoghegan


Book ID
107913664
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
169 KB
Volume
22
Category
Article
ISSN
0166-8641

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Let \(X\) be a smooth proper connected algebraic curve defined over an algebraic number field \(K\). Let \(\pi_{1}(\bar{X})\), be the pro-l completion of the geometric fundamental group of \(\bar{X}=X \otimes_{k} \bar{K}\). Let \(p\) be a prime of \(K\), which is coprime to l. Assuming that \(X\) ha