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arXiv · 1304.3896

Lefschetz theorem for abelian fundamental group with modulus

Moritz Kerz·Shuji Saito
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Abstract

We prove a Lefschetz hypersurface theorem for abelian fundamental groups allowing wild ramification along some divisor. In fact, we show that isomorphism holds if the degree of the hypersurface is large relative to the ramification along the divisor.

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Moritz Kerz, Shuji Saito. 2013-04-14. Lefschetz theorem for abelian fundamental group with modulus. https://doi.org/10.2140/ant.2014.8.689

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