Lefschetz theorem for abelian fundamental group with modulus
Algebraic Geometry
2023-05-12 v3 Number Theory
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.
Cite
@article{arxiv.1304.3896,
title = {Lefschetz theorem for abelian fundamental group with modulus},
author = {Moritz Kerz and Shuji Saito},
journal= {arXiv preprint arXiv:1304.3896},
year = {2023}
}
Comments
10 pages, final version; for erratum see https://msp.org/ant/2022/16-8/pC1.xhtml