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On the purely irregular fundamental group

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Based on the (not yet fully understood analogy) between irregular connections and wild ramification, we define a purely irregular fundamental group for complex algebraic varieties and prove some results about this fundamental group which are analogous to the p-adic etale fundamental group of algebraic varieties over fields of characteristic p.

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Wiley-V C H Verlag Gmbh

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Mathematics

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Mathematische Nachrichten

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10.1002/mana.200710178

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