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The fundamental group of a(mathcal{CP}^2)complement of a branch curve as an extension of a solvable group by a symmetric group

โœ Scribed by Mina Teicher


Publisher
Springer
Year
1999
Tongue
English
Weight
164 KB
Volume
314
Category
Article
ISSN
0025-5831

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A Note on Ramification of the Galois Rep
โœ T. Oda ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 436 KB

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