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arxiv: 0704.1236 · v2 · submitted 2007-04-10 · 🧮 math.AG

Sur les repr\'esentations du groupe fondamental d'une vari\'et\'e priv\'ee d'un diviseur \`a croisements normaux simples

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keywords algebraicallyalongbundlescharacteristicclosedcorrespondencecroisementscrossings
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Given a projective variety X over an algebraically closed field of characteristic zero, we show that finite parabolic bundles along a fixed simple normal crossings divisor D are in one to one correspondence with representations of the \'etale fundamental group of X-D.

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