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The structure of the Torelli group—II: A characterization of the group generated by twists on bounding curves

✍ Scribed by Dennis Johnson

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 815 KB
Volume: 24
Category: Article
ISSN: 0040-9383
DOI: 10.1016/0040-9383(85)90049-7

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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